421639362144 has 1152 divisors, whose sum is σ = 1758007480320. Its totient is φ = 95738112000.

The previous prime is 421639362143. The next prime is 421639362167. The reversal of 421639362144 is 441263936124.

421639362144 is a `hidden beast` number, since 4 + 2 + 1 + 639 + 3 + 6 + 2 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×421639362144³ (a number of 36 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 421639362144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421639362143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147890319 + ... + 147893169.

It is an arithmetic number, because the mean of its divisors is an integer number (1526048160).

Almost surely, 2^421639362144 is an apocalyptic number.

421639362144 is a gapful number since it is divisible by the number (44) 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 421639362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879003740160).

421639362144 is an abundant number, since it is smaller than the sum of its proper divisors (1336368118176).

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

421639362144 is a wasteful number, since it uses less digits than its factorization.

421639362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2906 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 421639362144 in words is "four hundred twenty-one billion, six hundred thirty-nine million, three hundred sixty-two thousand, one hundred forty-four".