427908142200 has 384 divisors, whose sum is σ = 1655360478720. Its totient is φ = 88834099200.

The previous prime is 427908142157. The next prime is 427908142217. The reversal of 427908142200 is 2241809724.

It is a happy number.

It is a super-2 number, since 2×427908142200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58993774 + ... + 59001026.

It is an arithmetic number, because the mean of its divisors is an integer number (4310834580).

Almost surely, 2^427908142200 is an apocalyptic number.

427908142200 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 427908142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827680239360).

427908142200 is an abundant number, since it is smaller than the sum of its proper divisors (1227452336520).

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

427908142200 is a wasteful number, since it uses less digits than its factorization.

427908142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 427908142200 in words is "four hundred twenty-seven billion, nine hundred eight million, one hundred forty-two thousand, two hundred".