438503509440 has 224 divisors, whose sum is σ = 1548668805120. Its totient is φ = 116803814400.

The previous prime is 438503509439. The next prime is 438503509447. The reversal of 438503509440 is 44905305834.

438503509440 is a `hidden beast` number, since 4 + 3 + 8 + 503 + 50 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×438503509440² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438503509447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7843185 + ... + 7898895.

Almost surely, 2^438503509440 is an apocalyptic number.

438503509440 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 438503509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774334402560).

438503509440 is an abundant number, since it is smaller than the sum of its proper divisors (1110165295680).

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

438503509440 is a wasteful number, since it uses less digits than its factorization.

438503509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56648 (or 56632 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 438503509440 in words is "four hundred thirty-eight billion, five hundred three million, five hundred nine thousand, four hundred forty".