10451315014400 has 108 divisors (see below), whose sum is σ = 27858533106432. Its totient is φ = 3858947051520.

The previous prime is 10451315014337. The next prime is 10451315014411. The reversal of 10451315014400 is 441051315401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62725184 + ... + 62891583.

Almost surely, 2^{10451315014400} is an apocalyptic number.

10451315014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10451315014400 is an abundant number, since it is smaller than the sum of its proper divisors (17407218092032).

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

10451315014400 is a wasteful number, since it uses less digits than its factorization.

10451315014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125616806 (or 125616787 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 10451315014400 its reverse (441051315401), we get a palindrome (10892366329801).

The spelling of 10451315014400 in words is "ten trillion, four hundred fifty-one billion, three hundred fifteen million, fourteen thousand, four hundred".