4969977018240 has 256 divisors, whose sum is σ = 17099301542400. Its totient is φ = 1220589527040.

The previous prime is 4969977018221. The next prime is 4969977018247. The reversal of 4969977018240 is 428107799694.

It is a happy number.

It is a super-2 number, since 2×4969977018240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4969977018247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10730655 + ... + 11184225.

It is an arithmetic number, because the mean of its divisors is an integer number (66794146650).

Almost surely, 2^{4969977018240} is an apocalyptic number.

4969977018240 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 4969977018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549650771200).

4969977018240 is an abundant number, since it is smaller than the sum of its proper divisors (12129324524160).

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

4969977018240 is a wasteful number, since it uses less digits than its factorization.

4969977018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454045 (or 454033 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 4969977018240 in words is "four trillion, nine hundred sixty-nine billion, nine hundred seventy-seven million, eighteen thousand, two hundred forty".