540941290269120 has 1792 divisors, whose sum is σ = 2187150533406720. Its totient is φ = 124835327705088.

The previous prime is 540941290269041. The next prime is 540941290269151. The reversal of 540941290269120 is 21962092149045.

540941290269120 is a `hidden beast` number, since 5 + 4 + 0 + 94 + 1 + 290 + 269 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 235909850694 + ... + 235909852986.

It is an arithmetic number, because the mean of its divisors is an integer number (1220508110160).

Almost surely, 2^{540941290269120} 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 540941290269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093575266703360).

540941290269120 is an abundant number, since it is smaller than the sum of its proper divisors (1646209243137600).

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

540941290269120 is a wasteful number, since it uses less digits than its factorization.

540941290269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 540941290269120 in words is "five hundred forty trillion, nine hundred forty-one billion, two hundred ninety million, two hundred sixty-nine thousand, one hundred twenty".