472101554265000 has 320 divisors, whose sum is σ = 1609001131573440. Its totient is φ = 114443239680000.

The previous prime is 472101554264993. The next prime is 472101554265001. The reversal of 472101554265000 is 562455101274.

It is not an unprimeable number, because it can be changed into a prime (472101554265001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4074947074 + ... + 4075062926.

It is an arithmetic number, because the mean of its divisors is an integer number (5028128536167).

Almost surely, 2^{472101554265000} is an apocalyptic number.

472101554265000 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 472101554265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804500565786720).

472101554265000 is an abundant number, since it is smaller than the sum of its proper divisors (1136899577308440).

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

472101554265000 is a wasteful number, since it uses less digits than its factorization.

472101554265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140590 (or 140571 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 472101554265000 in words is "four hundred seventy-two trillion, one hundred one billion, five hundred fifty-four million, two hundred sixty-five thousand".