4772712205404 has 216 divisors, whose sum is σ = 14441358662640. Its totient is φ = 1320022725120.

The previous prime is 4772712205363. The next prime is 4772712205423. The reversal of 4772712205404 is 4045022172774.

4772712205404 is a `hidden beast` number, since 4 + 7 + 7 + 27 + 12 + 205 + 404 = 666.

It is a super-2 number, since 2×4772712205404² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4772712205404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4566399 + ... + 5513385.

Almost surely, 2^{4772712205404} is an apocalyptic number.

4772712205404 is a gapful number since it is divisible by the number (44) 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 4772712205404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220679331320).

4772712205404 is an abundant number, since it is smaller than the sum of its proper divisors (9668646457236).

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

4772712205404 is a wasteful number, since it uses less digits than its factorization.

4772712205404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947121 (or 947105 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 4772712205404 in words is "four trillion, seven hundred seventy-two billion, seven hundred twelve million, two hundred five thousand, four hundred four".