438063575040 has 1872 divisors, whose sum is σ = 1964228011200. Its totient is φ = 90172293120.

The previous prime is 438063575011. The next prime is 438063575087. The reversal of 438063575040 is 40575360834.

438063575040 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 635 + 7 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×438063575040² (a number of 24 digits) contains 22 as substring.

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, 10684477420 + ... + 10684477460.

It is an arithmetic number, because the mean of its divisors is an integer number (1049267100).

Almost surely, 2^438063575040 is an apocalyptic number.

438063575040 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 438063575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982114005600).

438063575040 is an abundant number, since it is smaller than the sum of its proper divisors (1526164436160).

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

438063575040 is a wasteful number, since it uses less digits than its factorization.

438063575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 438063575040 in words is "four hundred thirty-eight billion, sixty-three million, five hundred seventy-five thousand, forty".