40872472704 has 288 divisors, whose sum is σ = 137281098240. Its totient is φ = 11672317440.

The previous prime is 40872472679. The next prime is 40872472709. The reversal of 40872472704 is 40727427804.

40872472704 is a `hidden beast` number, since 40 + 8 + 72 + 472 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 40872472704.

It is not an unprimeable number, because it can be changed into a prime (40872472709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19360609 + ... + 19362719.

It is an arithmetic number, because the mean of its divisors is an integer number (476670480).

Almost surely, 2^40872472704 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 40872472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640549120).

40872472704 is an abundant number, since it is smaller than the sum of its proper divisors (96408625536).

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

40872472704 is an frugal number, since it uses more digits than its factorization.

40872472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 40872472704 in words is "forty billion, eight hundred seventy-two million, four hundred seventy-two thousand, seven hundred four".