4964641597440 has 768 divisors, whose sum is σ = 20470418841600. Its totient is φ = 1117809082368.

The previous prime is 4964641597403. The next prime is 4964641597453. The reversal of 4964641597440 is 447951464694.

4964641597440 is a `hidden beast` number, since 4 + 9 + 64 + 6 + 41 + 5 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 129649977 + ... + 129688263.

It is an arithmetic number, because the mean of its divisors is an integer number (26654191200).

Almost surely, 2^{4964641597440} is an apocalyptic number.

4964641597440 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 4964641597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235209420800).

4964641597440 is an abundant number, since it is smaller than the sum of its proper divisors (15505777244160).

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

4964641597440 is a wasteful number, since it uses less digits than its factorization.

4964641597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38397 (or 38371 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4964641597440 in words is "four trillion, nine hundred sixty-four billion, six hundred forty-one million, five hundred ninety-seven thousand, four hundred forty".