438004540272 has 320 divisors, whose sum is σ = 1293769193472. Its totient is φ = 126669312000.

The previous prime is 438004540261. The next prime is 438004540301. The reversal of 438004540272 is 272045400834.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 438004540272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428995122 + ... + 428996142.

Almost surely, 2^438004540272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438004540272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646884596736).

438004540272 is an abundant number, since it is smaller than the sum of its proper divisors (855764653200).

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

438004540272 is a wasteful number, since it uses less digits than its factorization.

438004540272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 438004540272 in words is "four hundred thirty-eight billion, four million, five hundred forty thousand, two hundred seventy-two".