4938400320 has 336 divisors, whose sum is σ = 18353471040. Its totient is φ = 1121734656.

The previous prime is 4938400319. The next prime is 4938400321. The reversal of 4938400320 is 230048394.

It is an interprime number because it is at equal distance from previous prime (4938400319) and next prime (4938400321).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4938400320² = 48775595441152204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4938400321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13029891 + ... + 13030269.

Almost surely, 2^4938400320 is an apocalyptic number.

4938400320 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 4938400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176735520).

4938400320 is an abundant number, since it is smaller than the sum of its proper divisors (13415070720).

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

4938400320 is a wasteful number, since it uses less digits than its factorization.

4938400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4938400320 is about 70273.7527103826. The cubic root of 4938400320 is about 1702.9246449698.

The spelling of 4938400320 in words is "four billion, nine hundred thirty-eight million, four hundred thousand, three hundred twenty".