540401070042 has 64 divisors (see below), whose sum is σ = 1239978163200. Its totient is φ = 174273923520.

The previous prime is 540401069993. The next prime is 540401070101. The reversal of 540401070042 is 240070104045.

540401070042 is a `hidden beast` number, since 540 + 4 + 0 + 10 + 70 + 0 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 540401069988 and 540401070015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6165348 + ... + 6252384.

It is an arithmetic number, because the mean of its divisors is an integer number (19374658800).

Almost surely, 2^540401070042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540401070042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619989081600).

540401070042 is an abundant number, since it is smaller than the sum of its proper divisors (699577093158).

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

540401070042 is a wasteful number, since it uses less digits than its factorization.

540401070042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90788 (or 90782 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 540401070042 its reverse (240070104045), we get a palindrome (780471174087).

The spelling of 540401070042 in words is "five hundred forty billion, four hundred one million, seventy thousand, forty-two".