540654044400 has 360 divisors, whose sum is σ = 1888812072576. Its totient is φ = 143210457600.

The previous prime is 540654044297. The next prime is 540654044407. The reversal of 540654044400 is 4440456045.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540654044407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 464878219 + ... + 464879381.

Almost surely, 2^540654044400 is an apocalyptic number.

540654044400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540654044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944406036288).

540654044400 is an abundant number, since it is smaller than the sum of its proper divisors (1348158028176).

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

540654044400 is a wasteful number, since it uses less digits than its factorization.

540654044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 540654044400 in words is "five hundred forty billion, six hundred fifty-four million, forty-four thousand, four hundred".