4981464734400 has 2016 divisors, whose sum is σ = 22674247564800. Its totient is φ = 1028256768000.

The previous prime is 4981464734339. The next prime is 4981464734447. The reversal of 4981464734400 is 44374641894.

It is a happy number.

4981464734400 is a `hidden beast` number, since 4 + 98 + 1 + 46 + 4 + 73 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15049742235 + ... + 15049742565.

Almost surely, 2^{4981464734400} is an apocalyptic number.

4981464734400 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 4981464734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337123782400).

4981464734400 is an abundant number, since it is smaller than the sum of its proper divisors (17692782830400).

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

4981464734400 is a wasteful number, since it uses less digits than its factorization.

4981464734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4981464734400 in words is "four trillion, nine hundred eighty-one billion, four hundred sixty-four million, seven hundred thirty-four thousand, four hundred".