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1406464000128 = 27351137241461
BaseRepresentation
bin10100011101110111110…
…010011000000010000000
311222110022220011000200000
4110131313302120002000
5141020414241001003
62554042020400000
7203420326514325
oct24356762300200
94873286130600
101406464000128
114a2529297260
121a86b9b46000
13a2823b61b15
144c104cbcb4c
15268ba89e1a3
hex14777c98080

1406464000128 has 768 divisors, whose sum is σ = 4732207159680. Its totient is φ = 412065792000.

The previous prime is 1406464000079. The next prime is 1406464000133. The reversal of 1406464000128 is 8210004646041.

It is a happy number.

1406464000128 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 4 + 640 + 0 + 0 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1406464000092 and 1406464000101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3050897818 + ... + 3050898278.

Almost surely, 21406464000128 is an apocalyptic number.

1406464000128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406464000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366103579840).

1406464000128 is an abundant number, since it is smaller than the sum of its proper divisors (3325743159552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1406464000128 is a wasteful number, since it uses less digits than its factorization.

1406464000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 1406464000128 its reverse (8210004646041), we get a palindrome (9616468646169).

The spelling of 1406464000128 in words is "one trillion, four hundred six billion, four hundred sixty-four million, one hundred twenty-eight", and thus it is an aban number.