4721656104000 has 1792 divisors, whose sum is σ = 20385882316800. Its totient is φ = 1057536000000.

The previous prime is 4721656103999. The next prime is 4721656104013. The reversal of 4721656104000 is 4016561274.

4721656104000 is a `hidden beast` number, since 47 + 2 + 16 + 561 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1850902725 + ... + 1850905275.

It is an arithmetic number, because the mean of its divisors is an integer number (11376050400).

Almost surely, 2^{4721656104000} is an apocalyptic number.

4721656104000 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 4721656104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192941158400).

4721656104000 is an abundant number, since it is smaller than the sum of its proper divisors (15664226212800).

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

4721656104000 is a wasteful number, since it uses less digits than its factorization.

4721656104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4721656104000 in words is "four trillion, seven hundred twenty-one billion, six hundred fifty-six million, one hundred four thousand".