4906938113280 has 864 divisors, whose sum is σ = 20996536264704. Its totient is φ = 1072810303488.

The previous prime is 4906938113269. The next prime is 4906938113317. The reversal of 4906938113280 is 823118396094.

4906938113280 is a `hidden beast` number, since 490 + 6 + 9 + 38 + 11 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4906938113280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50028447 + ... + 50126433.

Almost surely, 2^{4906938113280} is an apocalyptic number.

4906938113280 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 4906938113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498268132352).

4906938113280 is an abundant number, since it is smaller than the sum of its proper divisors (16089598151424).

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

4906938113280 is an equidigital number, since it uses as much as digits as its factorization.

4906938113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98053 (or 98027 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4906938113280 in words is "four trillion, nine hundred six billion, nine hundred thirty-eight million, one hundred thirteen thousand, two hundred eighty".