4902235133400 has 960 divisors, whose sum is σ = 18885794669280. Its totient is φ = 1168647782400.

The previous prime is 4902235133399. The next prime is 4902235133423. The reversal of 4902235133400 is 43315322094.

4902235133400 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 235 + 13 + 3 + 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 239 ways as a sum of consecutive naturals, for example, 2758713312 + ... + 2758715088.

Almost surely, 2^{4902235133400} is an apocalyptic number.

4902235133400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4902235133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442897334640).

4902235133400 is an abundant number, since it is smaller than the sum of its proper divisors (13983559535880).

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

4902235133400 is a wasteful number, since it uses less digits than its factorization.

4902235133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 4902235133400 in words is "four trillion, nine hundred two billion, two hundred thirty-five million, one hundred thirty-three thousand, four hundred".