10625204040 has 128 divisors (see below), whose sum is σ = 35118126720. Its totient is φ = 2550272000.

The previous prime is 10625203951. The next prime is 10625204041. The reversal of 10625204040 is 4040252601.

It is a super-2 number, since 2×10625204040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10625204040.

It is not an unprimeable number, because it can be changed into a prime (10625204041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93472 + ... + 173168.

It is an arithmetic number, because the mean of its divisors is an integer number (274360365).

Almost surely, 2^10625204040 is an apocalyptic number.

10625204040 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 10625204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559063360).

10625204040 is an abundant number, since it is smaller than the sum of its proper divisors (24492922680).

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

10625204040 is a wasteful number, since it uses less digits than its factorization.

10625204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79823 (or 79819 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10625204040 its reverse (4040252601), we get a palindrome (14665456641).

The spelling of 10625204040 in words is "ten billion, six hundred twenty-five million, two hundred four thousand, forty".