420638400000 has 1920 divisors, whose sum is σ = 1933346257920. Its totient is φ = 87920640000.

The previous prime is 420638399957. The next prime is 420638400023. The reversal of 420638400000 is 4836024.

420638400000 is a `hidden beast` number, since 4 + 20 + 638 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3931199947 + ... + 3931200053.

It is an arithmetic number, because the mean of its divisors is an integer number (1006951176).

Almost surely, 2^420638400000 is an apocalyptic number.

420638400000 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 420638400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966673128960).

420638400000 is an abundant number, since it is smaller than the sum of its proper divisors (1512707857920).

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

420638400000 is an equidigital number, since it uses as much as digits as its factorization.

420638400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 420638400000 in words is "four hundred twenty billion, six hundred thirty-eight million, four hundred thousand".