4201045242400 has 36 divisors (see below), whose sum is σ = 10255801699962. Its totient is φ = 1680418096640.

The previous prime is 4201045242397. The next prime is 4201045242413. The reversal of 4201045242400 is 42425401024.

It can be written as a sum of positive squares in 3 ways, for example, as 2411796576016 + 1789248666384 = 1552996^2 + 1337628^2 .

It is a super-2 number, since 2×4201045242400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2625652477 + ... + 2625654076.

Almost surely, 2^{4201045242400} is an apocalyptic number.

4201045242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201045242400 is an abundant number, since it is smaller than the sum of its proper divisors (6054756457562).

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

4201045242400 is a wasteful number, since it uses less digits than its factorization.

4201045242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251306573 (or 5251306560 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The spelling of 4201045242400 in words is "four trillion, two hundred one billion, forty-five million, two hundred forty-two thousand, four hundred".