10252413040 has 120 divisors (see below), whose sum is σ = 25525888560. Its totient is φ = 3816345600.

The previous prime is 10252413011. The next prime is 10252413071. The reversal of 10252413040 is 4031425201.

It is a super-2 number, since 2×10252413040² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13872991 + ... + 13873729.

It is an arithmetic number, because the mean of its divisors is an integer number (212715738).

Almost surely, 2^10252413040 is an apocalyptic number.

10252413040 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 10252413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12762944280).

10252413040 is an abundant number, since it is smaller than the sum of its proper divisors (15273475520).

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

10252413040 is a wasteful number, since it uses less digits than its factorization.

10252413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10252413040 its reverse (4031425201), we get a palindrome (14283838241).

The spelling of 10252413040 in words is "ten billion, two hundred fifty-two million, four hundred thirteen thousand, forty".