540250144416 has 48 divisors (see below), whose sum is σ = 1575729590400. Its totient is φ = 180083381184.

The previous prime is 540250144411. The next prime is 540250144457. The reversal of 540250144416 is 614441052045.

540250144416 is a `hidden beast` number, since 54 + 0 + 2 + 50 + 144 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×540250144416³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540250144411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312643896 + ... + 312645623.

It is an arithmetic number, because the mean of its divisors is an integer number (32827699800).

Almost surely, 2^540250144416 is an apocalyptic number.

It is an amenable number.

540250144416 is an abundant number, since it is smaller than the sum of its proper divisors (1035479445984).

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

540250144416 is a wasteful number, since it uses less digits than its factorization.

540250144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625289538 (or 625289524 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 540250144416 in words is "five hundred forty billion, two hundred fifty million, one hundred forty-four thousand, four hundred sixteen".