420187382400 has 192 divisors, whose sum is σ = 1391997647520. Its totient is φ = 111401840640.

The previous prime is 420187382383. The next prime is 420187382449. The reversal of 420187382400 is 4283781024.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534299 + ... + 1787301.

Almost surely, 2^420187382400 is an apocalyptic number.

420187382400 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 420187382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695998823760).

420187382400 is an abundant number, since it is smaller than the sum of its proper divisors (971810265120).

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

420187382400 is a wasteful number, since it uses less digits than its factorization.

420187382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253203 (or 253186 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 420187382400 in words is "four hundred twenty billion, one hundred eighty-seven million, three hundred eighty-two thousand, four hundred".