473540401152 has 1440 divisors, whose sum is σ = 1857035980800. Its totient is φ = 117385003008.

The previous prime is 473540401073. The next prime is 473540401183. The reversal of 473540401152 is 251104045374.

473540401152 is a `hidden beast` number, since 4 + 73 + 540 + 40 + 1 + 1 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3728664513 + ... + 3728664639.

It is an arithmetic number, because the mean of its divisors is an integer number (1289608320).

Almost surely, 2^473540401152 is an apocalyptic number.

473540401152 is a gapful number since it is divisible by the number (42) 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 473540401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928517990400).

473540401152 is an abundant number, since it is smaller than the sum of its proper divisors (1383495579648).

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

473540401152 is a wasteful number, since it uses less digits than its factorization.

473540401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 473540401152 in words is "four hundred seventy-three billion, five hundred forty million, four hundred one thousand, one hundred fifty-two".