421461034416 has 120 divisors (see below), whose sum is σ = 1212916212144. Its totient is φ = 136517184000.

The previous prime is 421461034373. The next prime is 421461034441. The reversal of 421461034416 is 614430164124.

421461034416 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 610 + 34 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×421461034416² (a number of 24 digits) contains 22 as substring.

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

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, 4196791 + ... + 4296041.

Almost surely, 2^421461034416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421461034416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606458106072).

421461034416 is an abundant number, since it is smaller than the sum of its proper divisors (791455177728).

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

421461034416 is a wasteful number, since it uses less digits than its factorization.

421461034416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100099 (or 100090 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 421461034416 in words is "four hundred twenty-one billion, four hundred sixty-one million, thirty-four thousand, four hundred sixteen".