540638950400 has 528 divisors, whose sum is σ = 1507007295360. Its totient is φ = 191102976000.

The previous prime is 540638950399. The next prime is 540638950403. The reversal of 540638950400 is 4059836045.

It is a super-2 number, since 2×540638950400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540638950403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248588584 + ... + 1248589016.

Almost surely, 2^540638950400 is an apocalyptic number.

540638950400 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 540638950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753503647680).

540638950400 is an abundant number, since it is smaller than the sum of its proper divisors (966368344960).

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

540638950400 is a wasteful number, since it uses less digits than its factorization.

540638950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 540638950400 in words is "five hundred forty billion, six hundred thirty-eight million, nine hundred fifty thousand, four hundred".