472331658240 has 2112 divisors, whose sum is σ = 2027885932800. Its totient is φ = 104342224896.

The previous prime is 472331658079. The next prime is 472331658251. The reversal of 472331658240 is 42856133274.

472331658240 is a `hidden beast` number, since 4 + 7 + 23 + 3 + 1 + 6 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8911918054 + ... + 8911918106.

Almost surely, 2^472331658240 is an apocalyptic number.

472331658240 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 472331658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013942966400).

472331658240 is an abundant number, since it is smaller than the sum of its proper divisors (1555554274560).

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

472331658240 is a wasteful number, since it uses less digits than its factorization.

472331658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 472331658240 in words is "four hundred seventy-two billion, three hundred thirty-one million, six hundred fifty-eight thousand, two hundred forty".