540094464000 has 2304 divisors, whose sum is σ = 2545396176960. Its totient is φ = 108999475200.

The previous prime is 540094463989. The next prime is 540094464083. The reversal of 540094464000 is 464490045.

540094464000 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 9 + 4 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23482367989 + ... + 23482368011.

Almost surely, 2^540094464000 is an apocalyptic number.

540094464000 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 540094464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272698088480).

540094464000 is an abundant number, since it is smaller than the sum of its proper divisors (2005301712960).

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

540094464000 is a wasteful number, since it uses less digits than its factorization.

540094464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 540094464000 in words is "five hundred forty billion, ninety-four million, four hundred sixty-four thousand".