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1376423642880 = 2834511131743127
BaseRepresentation
bin10100000001111001001…
…111100000011100000000
311212120210022220202120000
4110001321033200130000
5140022403423033010
62532153103320000
7201305026632006
oct24017117403400
94776708822500
101376423642880
11490813299230
121a29155b0000
139ca473096c0
144a89536aa76
1525c0d4527c0
hex140793e0700

1376423642880 has 2880 divisors, whose sum is σ = 6318324891648. Its totient is φ = 280921374720.

The previous prime is 1376423642851. The next prime is 1376423642959. The reversal of 1376423642880 is 882463246731.

1376423642880 is a `hidden beast` number, since 1 + 3 + 76 + 42 + 36 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10837981377 + ... + 10837981503.

Almost surely, 21376423642880 is an apocalyptic number.

1376423642880 is a gapful number since it is divisible by the number (10) 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 1376423642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159162445824).

1376423642880 is an abundant number, since it is smaller than the sum of its proper divisors (4941901248768).

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

1376423642880 is a wasteful number, since it uses less digits than its factorization.

1376423642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1376423642880 in words is "one trillion, three hundred seventy-six billion, four hundred twenty-three million, six hundred forty-two thousand, eight hundred eighty".