420927091200 has 1080 divisors, whose sum is σ = 1911905732880. Its totient is φ = 87452467200.

The previous prime is 420927091183. The next prime is 420927091223. The reversal of 420927091200 is 2190729024.

420927091200 is a `hidden beast` number, since 420 + 9 + 27 + 0 + 9 + 1 + 200 = 666.

It is a super-2 number, since 2×420927091200² (a number of 24 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 62089411 + ... + 62096189.

It is an arithmetic number, because the mean of its divisors is an integer number (1770283086).

Almost surely, 2^420927091200 is an apocalyptic number.

420927091200 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 420927091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955952866440).

420927091200 is an abundant number, since it is smaller than the sum of its proper divisors (1490978641680).

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

420927091200 is a wasteful number, since it uses less digits than its factorization.

420927091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 420927091200 in words is "four hundred twenty billion, nine hundred twenty-seven million, ninety-one thousand, two hundred".