10495616040 has 512 divisors, whose sum is σ = 43327872000. Its totient is φ = 2200670208.

The previous prime is 10495616039. The next prime is 10495616071. The reversal of 10495616040 is 4061659401.

10495616040 is a `hidden beast` number, since 1 + 0 + 49 + 5 + 6 + 1 + 604 + 0 = 666.

It is a super-2 number, since 2×10495616040² (a number of 21 digits) contains 22 as substring.

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 = 10495615986 and 10495616004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26437122 + ... + 26437518.

It is an arithmetic number, because the mean of its divisors is an integer number (84624750).

Almost surely, 2^10495616040 is an apocalyptic number.

10495616040 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 10495616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663936000).

10495616040 is an abundant number, since it is smaller than the sum of its proper divisors (32832255960).

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

10495616040 is a wasteful number, since it uses less digits than its factorization.

10495616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

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

The spelling of 10495616040 in words is "ten billion, four hundred ninety-five million, six hundred sixteen thousand, forty".