4981536400 has 45 divisors (see below), whose sum is σ = 11971533531. Its totient is φ = 1992049920.

The previous prime is 4981536383. The next prime is 4981536419. The reversal of 4981536400 is 46351894.

The square root of 4981536400 is 70580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1665619344 + 3315917056 = 40812^2 + 57584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1409836 + ... + 1413364.

Almost surely, 2^4981536400 is an apocalyptic number.

4981536400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4981536400 is the 70580-th square number.

It is an amenable number.

4981536400 is an abundant number, since it is smaller than the sum of its proper divisors (6989997131).

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

4981536400 is an frugal number, since it uses more digits than its factorization.

4981536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 4981536400 is about 1707.8685297179.

The spelling of 4981536400 in words is "four billion, nine hundred eighty-one million, five hundred thirty-six thousand, four hundred".