4958922608640 has 4992 divisors, whose sum is σ = 25955881943040. Its totient is φ = 866333491200.

The previous prime is 4958922608639. The next prime is 4958922608659. The reversal of 4958922608640 is 468062298594.

4958922608640 is a `hidden beast` number, since 4 + 9 + 589 + 2 + 2 + 6 + 0 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-3 number, since 3×4958922608640³ (a number of 39 digits) contains 333 as substring.

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 383 ways as a sum of consecutive naturals, for example, 159965245425 + ... + 159965245455.

Almost surely, 2^{4958922608640} is an apocalyptic number.

4958922608640 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 4958922608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977940971520).

4958922608640 is an abundant number, since it is smaller than the sum of its proper divisors (20996959334400).

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

4958922608640 is a wasteful number, since it uses less digits than its factorization.

4958922608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4958922608640 in words is "four trillion, nine hundred fifty-eight billion, nine hundred twenty-two million, six hundred eight thousand, six hundred forty".