438626406420 has 144 divisors (see below), whose sum is σ = 1380069407808. Its totient is φ = 116942330880.

The previous prime is 438626406377. The next prime is 438626406497. The reversal of 438626406420 is 24604626834.

438626406420 is a `hidden beast` number, since 4 + 386 + 264 + 0 + 6 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42427492 + ... + 42437828.

It is an arithmetic number, because the mean of its divisors is an integer number (9583815332).

Almost surely, 2^438626406420 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 438626406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690034703904).

438626406420 is an abundant number, since it is smaller than the sum of its proper divisors (941443001388).

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

438626406420 is a wasteful number, since it uses less digits than its factorization.

438626406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19092 (or 19078 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 438626406420 in words is "four hundred thirty-eight billion, six hundred twenty-six million, four hundred six thousand, four hundred twenty".