4971618400 has 108 divisors (see below), whose sum is σ = 14118619788. Its totient is φ = 1704541440.

The previous prime is 4971618391. The next prime is 4971618427. The reversal of 4971618400 is 48161794.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24214 + ... + 102613.

It is an arithmetic number, because the mean of its divisors is an integer number (130727961).

Almost surely, 2^4971618400 is an apocalyptic number.

4971618400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4971618400 is an abundant number, since it is smaller than the sum of its proper divisors (9147001388).

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

4971618400 is a wasteful number, since it uses less digits than its factorization.

4971618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126861 (or 126841 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 4971618400 is about 70509.7042966427. The cubic root of 4971618400 is about 1706.7343485800.

The spelling of 4971618400 in words is "four billion, nine hundred seventy-one million, six hundred eighteen thousand, four hundred".