540429132320 has 384 divisors, whose sum is σ = 1709230989312. Its totient is φ = 156299673600.

The previous prime is 540429132289. The next prime is 540429132359. The reversal of 540429132320 is 23231924045.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 14852069 + ... + 14888411.

It is an arithmetic number, because the mean of its divisors is an integer number (4451122368).

Almost surely, 2^540429132320 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 540429132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854615494656).

540429132320 is an abundant number, since it is smaller than the sum of its proper divisors (1168801856992).

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

540429132320 is a wasteful number, since it uses less digits than its factorization.

540429132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36464 (or 36456 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 540429132320 in words is "five hundred forty billion, four hundred twenty-nine million, one hundred thirty-two thousand, three hundred twenty".