421420100400 has 360 divisors, whose sum is σ = 1629254106480. Its totient is φ = 100156815360.

The previous prime is 421420100383. The next prime is 421420100401. The reversal of 421420100400 is 4001024124.

421420100400 is a `hidden beast` number, since 421 + 4 + 201 + 0 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×421420100400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (421420100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1201947 + ... + 1512453.

Almost surely, 2^421420100400 is an apocalyptic number.

421420100400 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 421420100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814627053240).

421420100400 is an abundant number, since it is smaller than the sum of its proper divisors (1207834006080).

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

421420100400 is a wasteful number, since it uses less digits than its factorization.

421420100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310573 (or 310559 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 421420100400 its reverse (4001024124), we get a palindrome (425421124524).

The spelling of 421420100400 in words is "four hundred twenty-one billion, four hundred twenty million, one hundred thousand, four hundred".