4979504040 has 192 divisors, whose sum is σ = 18019532160. Its totient is φ = 1078202880.

The previous prime is 4979504009. The next prime is 4979504041. The reversal of 4979504040 is 404059794.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4979503983 and 4979504001.

It is not an unprimeable number, because it can be changed into a prime (4979504041) 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, 295030 + ... + 311450.

It is an arithmetic number, because the mean of its divisors is an integer number (93851730).

Almost surely, 2^4979504040 is an apocalyptic number.

4979504040 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 4979504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9009766080).

4979504040 is an abundant number, since it is smaller than the sum of its proper divisors (13040028120).

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

4979504040 is a wasteful number, since it uses less digits than its factorization.

4979504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16480 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 4979504040 is about 70565.6009681771. The cubic root of 4979504040 is about 1707.6362402162.

The spelling of 4979504040 in words is "four billion, nine hundred seventy-nine million, five hundred four thousand, forty".