4212535504000 has 64 divisors (see below), whose sum is σ = 10473416436600. Its totient is φ = 1685014195200.

The previous prime is 4212535503977. The next prime is 4212535504027. The reversal of 4212535504000 is 4055352124.

4212535504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 599707750464 + 3612827753536 = 774408^2 + 1900744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131625735 + ... + 131657734.

Almost surely, 2^{4212535504000} is an apocalyptic number.

4212535504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212535504000 is an abundant number, since it is smaller than the sum of its proper divisors (6260880932600).

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

4212535504000 is an equidigital number, since it uses as much as digits as its factorization.

4212535504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263283498 (or 263283476 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 4212535504000 in words is "four trillion, two hundred twelve billion, five hundred thirty-five million, five hundred four thousand".