4974649344000 has 2856 divisors, whose sum is σ = 22929719073768. Its totient is φ = 1070176665600.

The previous prime is 4974649343987. The next prime is 4974649344013. The reversal of 4974649344000 is 4439464794.

4974649344000 is a `hidden beast` number, since 4 + 97 + 4 + 64 + 93 + 4 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4974649343987) and next prime (4974649344013).

It can be written as a sum of positive squares in 4 ways, for example, as 21069103104 + 4953580240896 = 145152^2 + 2225664^2 .

It is a tau number, because it is divible by the number of its divisors (2856).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 292626431992 + ... + 292626432008.

Almost surely, 2^{4974649344000} is an apocalyptic number.

4974649344000 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 4974649344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464859536884).

4974649344000 is an abundant number, since it is smaller than the sum of its proper divisors (17955069729768).

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

4974649344000 is an frugal number, since it uses more digits than its factorization.

4974649344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4974649344000 in words is "four trillion, nine hundred seventy-four billion, six hundred forty-nine million, three hundred forty-four thousand".