540034041060 has 384 divisors, whose sum is σ = 1758893875200. Its totient is φ = 137448529920.

The previous prime is 540034041031. The next prime is 540034041089. The reversal of 540034041060 is 60140430045.

540034041060 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540034041031) and next prime (540034041089).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 196160644 + ... + 196163396.

It is an arithmetic number, because the mean of its divisors is an integer number (4580452800).

Almost surely, 2^540034041060 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 540034041060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879446937600).

540034041060 is an abundant number, since it is smaller than the sum of its proper divisors (1218859834140).

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

540034041060 is a wasteful number, since it uses less digits than its factorization.

540034041060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 540034041060 in words is "five hundred forty billion, thirty-four million, forty-one thousand, sixty".