540796465440 has 768 divisors, whose sum is σ = 2408071680000. Its totient is φ = 112369904640.

The previous prime is 540796465381. The next prime is 540796465459. The reversal of 540796465440 is 44564697045.

540796465440 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 96 + 4 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×540796465440² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16282771 + ... + 16315949.

It is an arithmetic number, because the mean of its divisors is an integer number (3135510000).

Almost surely, 2^540796465440 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 540796465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204035840000).

540796465440 is an abundant number, since it is smaller than the sum of its proper divisors (1867275214560).

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

540796465440 is a wasteful number, since it uses less digits than its factorization.

540796465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33235 (or 33207 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 540796465440 in words is "five hundred forty billion, seven hundred ninety-six million, four hundred sixty-five thousand, four hundred forty".