472401500164440 has 512 divisors, whose sum is σ = 1860088275763200. Its totient is φ = 92985513891840.

The previous prime is 472401500164417. The next prime is 472401500164453. The reversal of 472401500164440 is 44461005104274.

It is a super-2 number, since 2×472401500164440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 472401500164392 and 472401500164401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1794618274 + ... + 1794881486.

It is an arithmetic number, because the mean of its divisors is an integer number (3632984913600).

Almost surely, 2^{472401500164440} is an apocalyptic number.

472401500164440 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 472401500164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930044137881600).

472401500164440 is an abundant number, since it is smaller than the sum of its proper divisors (1387686775598760).

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

472401500164440 is a wasteful number, since it uses less digits than its factorization.

472401500164440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273487 (or 273483 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 472401500164440 in words is "four hundred seventy-two trillion, four hundred one billion, five hundred million, one hundred sixty-four thousand, four hundred forty".