427600131840 has 2304 divisors, whose sum is σ = 1947044413440. Its totient is φ = 86712975360.

The previous prime is 427600131823. The next prime is 427600131851. The reversal of 427600131840 is 48131006724.

427600131840 is a `hidden beast` number, since 4 + 2 + 7 + 600 + 1 + 3 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 427600131795 and 427600131804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6382091487 + ... + 6382091553.

It is an arithmetic number, because the mean of its divisors is an integer number (845071360).

Almost surely, 2^427600131840 is an apocalyptic number.

427600131840 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 427600131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973522206720).

427600131840 is an abundant number, since it is smaller than the sum of its proper divisors (1519444281600).

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

427600131840 is a wasteful number, since it uses less digits than its factorization.

427600131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 427600131840 in words is "four hundred twenty-seven billion, six hundred million, one hundred thirty-one thousand, eight hundred forty".