421813401408 has 336 divisors, whose sum is σ = 1465587152640. Its totient is φ = 113232494592.

The previous prime is 421813401389. The next prime is 421813401409. The reversal of 421813401408 is 804104318124.

It is a happy number.

421813401408 is a `hidden beast` number, since 4 + 218 + 1 + 34 + 0 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421813401409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42012453 + ... + 42022491.

Almost surely, 2^421813401408 is an apocalyptic number.

421813401408 is a gapful number since it is divisible by the number (48) 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 421813401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732793576320).

421813401408 is an abundant number, since it is smaller than the sum of its proper divisors (1043773751232).

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

421813401408 is a wasteful number, since it uses less digits than its factorization.

421813401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10694 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 421813401408 in words is "four hundred twenty-one billion, eight hundred thirteen million, four hundred one thousand, four hundred eight".