438381401472 has 384 divisors, whose sum is σ = 1476737982720. Its totient is φ = 122240102400.

The previous prime is 438381401453. The next prime is 438381401473. The reversal of 438381401472 is 274104183834.

438381401472 is a `hidden beast` number, since 4 + 3 + 8 + 38 + 140 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438381401473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64436023 + ... + 64442825.

It is an arithmetic number, because the mean of its divisors is an integer number (3845671830).

Almost surely, 2^438381401472 is an apocalyptic number.

438381401472 is a gapful number since it is divisible by the number (42) 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 438381401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738368991360).

438381401472 is an abundant number, since it is smaller than the sum of its proper divisors (1038356581248).

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

438381401472 is a wasteful number, since it uses less digits than its factorization.

438381401472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 438381401472 in words is "four hundred thirty-eight billion, three hundred eighty-one million, four hundred one thousand, four hundred seventy-two".