427174300800 has 960 divisors, whose sum is σ = 1707200732160. Its totient is φ = 104559206400.

The previous prime is 427174300781. The next prime is 427174300831. The reversal of 427174300800 is 8003471724.

It is a happy number.

427174300800 is a `hidden beast` number, since 4 + 271 + 7 + 4 + 300 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1115337409 + ... + 1115337791.

It is an arithmetic number, because the mean of its divisors is an integer number (1778334096).

Almost surely, 2^427174300800 is an apocalyptic number.

427174300800 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 427174300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853600366080).

427174300800 is an abundant number, since it is smaller than the sum of its proper divisors (1280026431360).

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

427174300800 is a wasteful number, since it uses less digits than its factorization.

427174300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 427174300800 in words is "four hundred twenty-seven billion, one hundred seventy-four million, three hundred thousand, eight hundred".