472129492237920 has 576 divisors, whose sum is σ = 1800132267757824. Its totient is φ = 111691417743360.

The previous prime is 472129492237867. The next prime is 472129492237961. The reversal of 472129492237920 is 29732294921274.

472129492237920 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 29 + 492 + 2 + 37 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744147067 + ... + 744781253.

It is an arithmetic number, because the mean of its divisors is an integer number (3125229631524).

Almost surely, 2^{472129492237920} is an apocalyptic number.

472129492237920 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 472129492237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900066133878912).

472129492237920 is an abundant number, since it is smaller than the sum of its proper divisors (1328002775519904).

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

472129492237920 is a wasteful number, since it uses less digits than its factorization.

472129492237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635355 (or 635344 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 472129492237920 in words is "four hundred seventy-two trillion, one hundred twenty-nine billion, four hundred ninety-two million, two hundred thirty-seven thousand, nine hundred twenty".