427116412800 has 3072 divisors, whose sum is σ = 2137006080000. Its totient is φ = 80621568000.

The previous prime is 427116412771. The next prime is 427116412823. The reversal of 427116412800 is 8214611724.

It is a happy number.

427116412800 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 1 + 641 + 2 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3918499146 + ... + 3918499254.

It is an arithmetic number, because the mean of its divisors is an integer number (695640000).

Almost surely, 2^427116412800 is an apocalyptic number.

427116412800 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 427116412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068503040000).

427116412800 is an abundant number, since it is smaller than the sum of its proper divisors (1709889667200).

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

427116412800 is a wasteful number, since it uses less digits than its factorization.

427116412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 427116412800 in words is "four hundred twenty-seven billion, one hundred sixteen million, four hundred twelve thousand, eight hundred".