540431454042220 has 192 divisors, whose sum is σ = 1238443181015040. Its totient is φ = 196911867414528.

The previous prime is 540431454042133. The next prime is 540431454042247. The reversal of 540431454042220 is 22240454134045.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6763215507 + ... + 6763295413.

It is an arithmetic number, because the mean of its divisors is an integer number (6450224901120).

Almost surely, 2^{540431454042220} 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 540431454042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619221590507520).

540431454042220 is an abundant number, since it is smaller than the sum of its proper divisors (698011726972820).

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

540431454042220 is a wasteful number, since it uses less digits than its factorization.

540431454042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81152 (or 81150 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 540431454042220 in words is "five hundred forty trillion, four hundred thirty-one billion, four hundred fifty-four million, forty-two thousand, two hundred twenty".