4902579653400 has 384 divisors, whose sum is σ = 19838880230400. Its totient is φ = 1097080588800.

The previous prime is 4902579653383. The next prime is 4902579653401. The reversal of 4902579653400 is 43569752094.

4902579653400 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 579 + 65 + 3 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902579653401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2402224 + ... + 3946623.

It is an arithmetic number, because the mean of its divisors is an integer number (51663750600).

Almost surely, 2^{4902579653400} is an apocalyptic number.

4902579653400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4902579653400 is an abundant number, since it is smaller than the sum of its proper divisors (14936300577000).

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

4902579653400 is a wasteful number, since it uses less digits than its factorization.

4902579653400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348896 (or 6348881 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 4902579653400 in words is "four trillion, nine hundred two billion, five hundred seventy-nine million, six hundred fifty-three thousand, four hundred".