470112402240 has 1344 divisors, whose sum is σ = 1906623194112. Its totient is φ = 105283584000.

The previous prime is 470112402143. The next prime is 470112402241. The reversal of 470112402240 is 42204211074.

470112402240 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 12 + 402 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470112402241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4564198029 + ... + 4564198131.

It is an arithmetic number, because the mean of its divisors is an integer number (1418618448).

Almost surely, 2^470112402240 is an apocalyptic number.

470112402240 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 470112402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953311597056).

470112402240 is an abundant number, since it is smaller than the sum of its proper divisors (1436510791872).

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

470112402240 is a wasteful number, since it uses less digits than its factorization.

470112402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 470112402240 in words is "four hundred seventy billion, one hundred twelve million, four hundred two thousand, two hundred forty".