472407679941120 has 3200 divisors, whose sum is σ = 2237843711549952. Its totient is φ = 92213556019200.

The previous prime is 472407679941013. The next prime is 472407679941227. The reversal of 472407679941120 is 21149976704274.

472407679941120 is a `hidden beast` number, since 4 + 7 + 2 + 40 + 76 + 7 + 99 + 411 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (472407679941013) and next prime (472407679941227).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 179418031324 + ... + 179418033956.

Almost surely, 2^{472407679941120} is an apocalyptic number.

472407679941120 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 472407679941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118921855774976).

472407679941120 is an abundant number, since it is smaller than the sum of its proper divisors (1765436031608832).

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

472407679941120 is a wasteful number, since it uses less digits than its factorization.

472407679941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 472407679941120 in words is "four hundred seventy-two trillion, four hundred seven billion, six hundred seventy-nine million, nine hundred forty-one thousand, one hundred twenty".