4977967104000 has 2160 divisors, whose sum is σ = 21059587156608. Its totient is φ = 1167851520000.

The previous prime is 4977967103999. The next prime is 4977967104007. The reversal of 4977967104000 is 4017697794.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×4977967104000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977967104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 160579583985 + ... + 160579584015.

Almost surely, 2^{4977967104000} is an apocalyptic number.

4977967104000 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 4977967104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529793578304).

4977967104000 is an abundant number, since it is smaller than the sum of its proper divisors (16081620052608).

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

4977967104000 is an frugal number, since it uses more digits than its factorization.

4977967104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 4977967104000 in words is "four trillion, nine hundred seventy-seven billion, nine hundred sixty-seven million, one hundred four thousand".