4979400400 has 120 divisors (see below), whose sum is σ = 13065663744. Its totient is φ = 1812518400.

The previous prime is 4979400373. The next prime is 4979400409. The reversal of 4979400400 is 40049794.

It is a self number, because there is not a number n which added to its sum of digits gives 4979400400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4979400409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362457 + ... + 375943.

Almost surely, 2^4979400400 is an apocalyptic number.

4979400400 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 4979400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532831872).

4979400400 is an abundant number, since it is smaller than the sum of its proper divisors (8086263344).

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

4979400400 is a wasteful number, since it uses less digits than its factorization.

4979400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13589 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 4979400400 is about 70564.8666122172. The cubic root of 4979400400 is about 1707.6243929421.

The spelling of 4979400400 in words is "four billion, nine hundred seventy-nine million, four hundred thousand, four hundred".