10351251010440 has 192 divisors, whose sum is σ = 36275887065600. Its totient is φ = 2551271040000.

The previous prime is 10351251010439. The next prime is 10351251010469. The reversal of 10351251010440 is 4401015215301.

10351251010440 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 1 + 2 + 510 + 104 + 40 = 666.

It is a super-2 number, since 2×10351251010440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18174936 + ... + 18735815.

It is an arithmetic number, because the mean of its divisors is an integer number (188936911800).

Almost surely, 2^{10351251010440} is an apocalyptic number.

10351251010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10351251010440 is an abundant number, since it is smaller than the sum of its proper divisors (25924636055160).

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

10351251010440 is a wasteful number, since it uses less digits than its factorization.

10351251010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36910828 (or 36910821 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10351251010440 its reverse (4401015215301), we get a palindrome (14752266225741).

The spelling of 10351251010440 in words is "ten trillion, three hundred fifty-one billion, two hundred fifty-one million, ten thousand, four hundred forty".