10156690440 has 432 divisors, whose sum is σ = 37278692100. Its totient is φ = 2489190912.

The previous prime is 10156690421. The next prime is 10156690441. The reversal of 10156690440 is 4409665101.

10156690440 is a `hidden beast` number, since 1 + 0 + 1 + 566 + 90 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3087580356 + 7069110084 = 55566^2 + 84078^2 .

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 = 10156690395 and 10156690404.

It is not an unprimeable number, because it can be changed into a prime (10156690441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44352246 + ... + 44352474.

Almost surely, 2^10156690440 is an apocalyptic number.

10156690440 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 10156690440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639346050).

10156690440 is an abundant number, since it is smaller than the sum of its proper divisors (27122001660).

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

10156690440 is an equidigital number, since it uses as much as digits as its factorization.

10156690440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10156690440 in words is "ten billion, one hundred fifty-six million, six hundred ninety thousand, four hundred forty".