4042211990400 has 192 divisors, whose sum is σ = 14793373364400. Its totient is φ = 1077923174400.

The previous prime is 4042211990393. The next prime is 4042211990437. The reversal of 4042211990400 is 40991122404.

4042211990400 is a `hidden beast` number, since 4 + 0 + 42 + 21 + 199 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23306031 + ... + 23478830.

Almost surely, 2^{4042211990400} is an apocalyptic number.

4042211990400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042211990400 is an abundant number, since it is smaller than the sum of its proper divisors (10751161374000).

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

4042211990400 is a wasteful number, since it uses less digits than its factorization.

4042211990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46784894 (or 46784871 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4042211990400 in words is "four trillion, forty-two billion, two hundred eleven million, nine hundred ninety thousand, four hundred".