427827020400 has 1440 divisors, whose sum is σ = 1810904094720. Its totient is φ = 95170775040.

The previous prime is 427827020363. The next prime is 427827020407. The reversal of 427827020400 is 4020728724.

427827020400 is a `hidden beast` number, since 427 + 8 + 27 + 0 + 204 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427827020407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1165741017 + ... + 1165741383.

It is an arithmetic number, because the mean of its divisors is an integer number (1257572288).

Almost surely, 2^427827020400 is an apocalyptic number.

427827020400 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 427827020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905452047360).

427827020400 is an abundant number, since it is smaller than the sum of its proper divisors (1383077074320).

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

427827020400 is a wasteful number, since it uses less digits than its factorization.

427827020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 427827020400 in words is "four hundred twenty-seven billion, eight hundred twenty-seven million, twenty thousand, four hundred".