1014056224200 has 144 divisors (see below), whose sum is σ = 3405868120980. Its totient is φ = 270388846080.

The previous prime is 1014056224163. The next prime is 1014056224211. The reversal of 1014056224200 is 24226504101.

1014056224200 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 5 + 622 + 4 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 433329925284 + 580726298916 = 658278^2 + 762054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24958302 + ... + 24998898.

Almost surely, 2^{1014056224200} is an apocalyptic number.

1014056224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014056224200 is an abundant number, since it is smaller than the sum of its proper divisors (2391811896780).

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

1014056224200 is a wasteful number, since it uses less digits than its factorization.

1014056224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54496 (or 54484 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1014056224200 in words is "one trillion, fourteen billion, fifty-six million, two hundred twenty-four thousand, two hundred".