10212414502400 has 120 divisors (see below), whose sum is σ = 27602241952824. Its totient is φ = 3713605222400.

The previous prime is 10212414502387. The next prime is 10212414502457. The reversal of 10212414502400 is 420541421201.

It is a self number, because there is not a number n which added to its sum of digits gives 10212414502400.

It is a congruent number.

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, 36124877 + ... + 36406476.

Almost surely, 2^{10212414502400} is an apocalyptic number.

10212414502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212414502400 is an abundant number, since it is smaller than the sum of its proper divisors (17389827450424).

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

10212414502400 is an equidigital number, since it uses as much as digits as its factorization.

10212414502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72531392 (or 72531371 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 10212414502400 its reverse (420541421201), we get a palindrome (10632955923601).

The spelling of 10212414502400 in words is "ten trillion, two hundred twelve billion, four hundred fourteen million, five hundred two thousand, four hundred".