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1140727485440 = 21055910513593
BaseRepresentation
bin10000100110011000101…
…010000001010000000000
311001001102021000101122102
4100212120222001100000
5122142202214013230
62232013140525532
7145262201433104
oct20463052012000
94031367011572
101140727485440
113aa863a21674
121650b73b08a8
13837547a149a
143d2d6525904
151ea16289045
hex10998a81400

1140727485440 has 176 divisors, whose sum is σ = 2786211984960. Its totient is φ = 448005734400.

The previous prime is 1140727485437. The next prime is 1140727485463. The reversal of 1140727485440 is 445847270411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317484284 + ... + 317487876.

Almost surely, 21140727485440 is an apocalyptic number.

1140727485440 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 1140727485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393105992480).

1140727485440 is an abundant number, since it is smaller than the sum of its proper divisors (1645484499520).

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

1140727485440 is a wasteful number, since it uses less digits than its factorization.

1140727485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 1140727485440 in words is "one trillion, one hundred forty billion, seven hundred twenty-seven million, four hundred eighty-five thousand, four hundred forty".