4977081013440 has 448 divisors, whose sum is σ = 16664242129920. Its totient is φ = 1257092874240.

The previous prime is 4977081013379. The next prime is 4977081013459. The reversal of 4977081013440 is 443101807794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4977081013440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282635356 + ... + 282652964.

It is an arithmetic number, because the mean of its divisors is an integer number (37196969040).

Almost surely, 2^{4977081013440} is an apocalyptic number.

4977081013440 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 4977081013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332121064960).

4977081013440 is an abundant number, since it is smaller than the sum of its proper divisors (11687161116480).

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

4977081013440 is a wasteful number, since it uses less digits than its factorization.

4977081013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880 (or 17870 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 4977081013440 in words is "four trillion, nine hundred seventy-seven billion, eighty-one million, thirteen thousand, four hundred forty".