10251240335040 has 224 divisors, whose sum is σ = 32748090439680. Its totient is φ = 2716844322816.

The previous prime is 10251240335009. The next prime is 10251240335041. The reversal of 10251240335040 is 4053304215201.

It is a super-2 number, since 2×10251240335040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10251240334989 and 10251240335007.

It is not an unprimeable number, because it can be changed into a prime (10251240335041) 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, 511350297 + ... + 511370343.

It is an arithmetic number, because the mean of its divisors is an integer number (146196832320).

Almost surely, 2^{10251240335040} is an apocalyptic number.

10251240335040 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 10251240335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374045219840).

10251240335040 is an abundant number, since it is smaller than the sum of its proper divisors (22496850104640).

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

10251240335040 is a wasteful number, since it uses less digits than its factorization.

10251240335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23319 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10251240335040 in words is "ten trillion, two hundred fifty-one billion, two hundred forty million, three hundred thirty-five thousand, forty".