240044397046272 has 1280 divisors, whose sum is σ = 899384385715200. Its totient is φ = 61513181429760.

The previous prime is 240044397046271. The next prime is 240044397046393. The reversal of 240044397046272 is 272640793440042.

240044397046272 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 4 + 4 + 3 + 9 + 7 + 0 + 4 + 627 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (240044397046271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38586140122 + ... + 38586146342.

It is an arithmetic number, because the mean of its divisors is an integer number (702644051340).

Almost surely, 2^{240044397046272} 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 240044397046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449692192857600).

240044397046272 is an abundant number, since it is smaller than the sum of its proper divisors (659339988668928).

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

240044397046272 is a wasteful number, since it uses less digits than its factorization.

240044397046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 240044397046272 in words is "two hundred forty trillion, forty-four billion, three hundred ninety-seven million, forty-six thousand, two hundred seventy-two".