420942908400 has 480 divisors, whose sum is σ = 1590308928000. Its totient is φ = 95126169600.

The previous prime is 420942908381. The next prime is 420942908429. The reversal of 420942908400 is 4809249024.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 36626655 + ... + 36638145.

It is an arithmetic number, because the mean of its divisors is an integer number (3313143600).

Almost surely, 2^420942908400 is an apocalyptic number.

420942908400 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 420942908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795154464000).

420942908400 is an abundant number, since it is smaller than the sum of its proper divisors (1169366019600).

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

420942908400 is a wasteful number, since it uses less digits than its factorization.

420942908400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 420942908400 in words is "four hundred twenty billion, nine hundred forty-two million, nine hundred eight thousand, four hundred".