540431273280 has 448 divisors, whose sum is σ = 1800695586816. Its totient is φ = 137161728000.

The previous prime is 540431273267. The next prime is 540431273323. The reversal of 540431273280 is 82372134045.

It is a super-2 number, since 2×540431273280² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 817596150 + ... + 817596810.

It is an arithmetic number, because the mean of its divisors is an integer number (4019409792).

Almost surely, 2^540431273280 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 540431273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900347793408).

540431273280 is an abundant number, since it is smaller than the sum of its proper divisors (1260264313536).

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

540431273280 is a wasteful number, since it uses less digits than its factorization.

540431273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 540431273280 in words is "five hundred forty billion, four hundred thirty-one million, two hundred seventy-three thousand, two hundred eighty".