4256471634120 has 320 divisors, whose sum is σ = 15517503817200. Its totient is φ = 1042234490880.

The previous prime is 4256471634113. The next prime is 4256471634157. The reversal of 4256471634120 is 214361746524.

4256471634120 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 4 + 7 + 1 + 634 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 272878774884 + 3983592859236 = 522378^2 + 1995894^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1315866 + ... + 3200694.

Almost surely, 2^{4256471634120} is an apocalyptic number.

4256471634120 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 4256471634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758751908600).

4256471634120 is an abundant number, since it is smaller than the sum of its proper divisors (11261032183080).

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

4256471634120 is a wasteful number, since it uses less digits than its factorization.

4256471634120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884910 (or 1884897 counting only the distinct ones).

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

The spelling of 4256471634120 in words is "four trillion, two hundred fifty-six billion, four hundred seventy-one million, six hundred thirty-four thousand, one hundred twenty".