438021339840 has 1008 divisors, whose sum is σ = 1858420122624. Its totient is φ = 92582645760.

The previous prime is 438021339827. The next prime is 438021339887. The reversal of 438021339840 is 48933120834.

438021339840 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 213 + 398 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 445595989 + ... + 445596971.

Almost surely, 2^438021339840 is an apocalyptic number.

438021339840 is a gapful number since it is divisible by the number (40) 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 438021339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929210061312).

438021339840 is an abundant number, since it is smaller than the sum of its proper divisors (1420398782784).

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

438021339840 is a wasteful number, since it uses less digits than its factorization.

438021339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 438021339840 in words is "four hundred thirty-eight billion, twenty-one million, three hundred thirty-nine thousand, eight hundred forty".