540766502400 has 240 divisors, whose sum is σ = 1809011001600. Its totient is φ = 142378229760.

The previous prime is 540766502383. The next prime is 540766502407. The reversal of 540766502400 is 4205667045.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540766502407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2944471 + ... + 3122729.

It is an arithmetic number, because the mean of its divisors is an integer number (7537545840).

Almost surely, 2^540766502400 is an apocalyptic number.

540766502400 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 540766502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904505500800).

540766502400 is an abundant number, since it is smaller than the sum of its proper divisors (1268244499200).

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

540766502400 is a wasteful number, since it uses less digits than its factorization.

540766502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178369 (or 178348 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 540766502400 in words is "five hundred forty billion, seven hundred sixty-six million, five hundred two thousand, four hundred".