438700920840 has 1536 divisors, whose sum is σ = 2007365068800. Its totient is φ = 80387112960.

The previous prime is 438700920809. The next prime is 438700920899. The reversal of 438700920840 is 48029007834.

438700920840 is a `hidden beast` number, since 438 + 7 + 0 + 0 + 9 + 208 + 4 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 371465050 + ... + 371466230.

It is an arithmetic number, because the mean of its divisors is an integer number (1306878300).

Almost surely, 2^438700920840 is an apocalyptic number.

438700920840 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 438700920840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003682534400).

438700920840 is an abundant number, since it is smaller than the sum of its proper divisors (1568664147960).

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

438700920840 is a wasteful number, since it uses less digits than its factorization.

438700920840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 438700920840 in words is "four hundred thirty-eight billion, seven hundred million, nine hundred twenty thousand, eight hundred forty".