10088731440 has 200 divisors, whose sum is σ = 35615474928. Its totient is φ = 2646120960.

The previous prime is 10088731409. The next prime is 10088731469. The reversal of 10088731440 is 4413788001.

10088731440 is a `hidden beast` number, since 100 + 8 + 87 + 31 + 440 = 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 = 10088731395 and 10088731404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382519 + ... + 408041.

Almost surely, 2^10088731440 is an apocalyptic number.

10088731440 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 10088731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807737464).

10088731440 is an abundant number, since it is smaller than the sum of its proper divisors (25526743488).

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

10088731440 is a wasteful number, since it uses less digits than its factorization.

10088731440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25609 (or 25594 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10088731440 in words is "ten billion, eighty-eight million, seven hundred thirty-one thousand, four hundred forty".