4972042979200 has 192 divisors, whose sum is σ = 13831322595840. Its totient is φ = 1749692160000.

The previous prime is 4972042979177. The next prime is 4972042979257. The reversal of 4972042979200 is 29792402794.

It is a super-2 number, since 2×4972042979200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187046 + ... + 3369445.

It is an arithmetic number, because the mean of its divisors is an integer number (72038138520).

Almost surely, 2^{4972042979200} is an apocalyptic number.

4972042979200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4972042979200 is an abundant number, since it is smaller than the sum of its proper divisors (8859279616640).

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

4972042979200 is a wasteful number, since it uses less digits than its factorization.

4972042979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556557 (or 4556540 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 4972042979200 in words is "four trillion, nine hundred seventy-two billion, forty-two million, nine hundred seventy-nine thousand, two hundred".