240045714261672 has 128 divisors (see below), whose sum is σ = 660828231014400. Its totient is φ = 72056973747200.

The previous prime is 240045714261649. The next prime is 240045714261673. The reversal of 240045714261672 is 276162417540042.

It is not an unprimeable number, because it can be changed into a prime (240045714261673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486494704 + ... + 486987872.

It is an arithmetic number, because the mean of its divisors is an integer number (5162720554800).

Almost surely, 2^{240045714261672} is an apocalyptic number.

240045714261672 is a gapful number since it is divisible by the number (22) 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 240045714261672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330414115507200).

240045714261672 is an abundant number, since it is smaller than the sum of its proper divisors (420782516752728).

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

240045714261672 is a wasteful number, since it uses less digits than its factorization.

240045714261672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510527 (or 510523 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 240045714261672 in words is "two hundred forty trillion, forty-five billion, seven hundred fourteen million, two hundred sixty-one thousand, six hundred seventy-two".