470815025040 has 320 divisors, whose sum is σ = 1781271705600. Its totient is φ = 113771091456.

The previous prime is 470815025011. The next prime is 470815025053. The reversal of 470815025040 is 40520518074.

470815025040 is a `hidden beast` number, since 4 + 70 + 81 + 5 + 0 + 2 + 504 + 0 = 666.

470815025040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 470815024986 and 470815025004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694527 + ... + 1193313.

It is an arithmetic number, because the mean of its divisors is an integer number (5566474080).

Almost surely, 2^470815025040 is an apocalyptic number.

470815025040 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 470815025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890635852800).

470815025040 is an abundant number, since it is smaller than the sum of its proper divisors (1310456680560).

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

470815025040 is a wasteful number, since it uses less digits than its factorization.

470815025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498851 (or 498839 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 470815025040 in words is "four hundred seventy billion, eight hundred fifteen million, twenty-five thousand, forty".