438517981440 has 2880 divisors, whose sum is σ = 2136879360000. Its totient is φ = 84861665280.

The previous prime is 438517981427. The next prime is 438517981457. The reversal of 438517981440 is 44189715834.

438517981440 is a `hidden beast` number, since 4 + 3 + 8 + 51 + 79 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7432508131 + ... + 7432508189.

It is an arithmetic number, because the mean of its divisors is an integer number (741972000).

Almost surely, 2^438517981440 is an apocalyptic number.

438517981440 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 438517981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068439680000).

438517981440 is an abundant number, since it is smaller than the sum of its proper divisors (1698361378560).

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

438517981440 is a wasteful number, since it uses less digits than its factorization.

438517981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 438517981440 in words is "four hundred thirty-eight billion, five hundred seventeen million, nine hundred eighty-one thousand, four hundred forty".