4233192422400 has 198 divisors, whose sum is σ = 15156832379312. Its totient is φ = 1128851251200.

The previous prime is 4233192422233. The next prime is 4233192422443. The reversal of 4233192422400 is 42242913324.

4233192422400 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 1 + 9 + 242 + 2 + 400 = 666.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8956216 + ... + 9417015.

Almost surely, 2^{4233192422400} is an apocalyptic number.

4233192422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233192422400 is an abundant number, since it is smaller than the sum of its proper divisors (10923639956912).

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

4233192422400 is a wasteful number, since it uses less digits than its factorization.

4233192422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18373267 (or 18373241 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4233192422400 in words is "four trillion, two hundred thirty-three billion, one hundred ninety-two million, four hundred twenty-two thousand, four hundred".