540414511140 has 192 divisors, whose sum is σ = 1751607857664. Its totient is φ = 121938296832.

The previous prime is 540414510967. The next prime is 540414511199. The reversal of 540414511140 is 41115414045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540414511098 and 540414511107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16157074 + ... + 16190486.

It is an arithmetic number, because the mean of its divisors is an integer number (9122957592).

Almost surely, 2^540414511140 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 540414511140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875803928832).

540414511140 is an abundant number, since it is smaller than the sum of its proper divisors (1211193346524).

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

540414511140 is a wasteful number, since it uses less digits than its factorization.

540414511140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33926 (or 33924 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 540414511140 its reverse (41115414045), we get a palindrome (581529925185).

The spelling of 540414511140 in words is "five hundred forty billion, four hundred fourteen million, five hundred eleven thousand, one hundred forty".