421292140416 has 576 divisors, whose sum is σ = 1481407200000. Its totient is φ = 118811556864.

The previous prime is 421292140349. The next prime is 421292140429. The reversal of 421292140416 is 614041292124.

421292140416 is a `hidden beast` number, since 4 + 2 + 1 + 29 + 214 + 0 + 416 = 666.

421292140416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120401835 + ... + 120405333.

It is an arithmetic number, because the mean of its divisors is an integer number (2571887500).

Almost surely, 2^421292140416 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 421292140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740703600000).

421292140416 is an abundant number, since it is smaller than the sum of its proper divisors (1060115059584).

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

421292140416 is an equidigital number, since it uses as much as digits as its factorization.

421292140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 421292140416 in words is "four hundred twenty-one billion, two hundred ninety-two million, one hundred forty thousand, four hundred sixteen".