540544304110400 has 168 divisors, whose sum is σ = 1409417840056320. Its totient is φ = 203339911127040.

The previous prime is 540544304110397. The next prime is 540544304110483. The reversal of 540544304110400 is 4011403445045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27019859 + ... + 42557741.

Almost surely, 2^{540544304110400} is an apocalyptic number.

540544304110400 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 540544304110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704708920028160).

540544304110400 is an abundant number, since it is smaller than the sum of its proper divisors (868873535945920).

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

540544304110400 is a wasteful number, since it uses less digits than its factorization.

540544304110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15539201 (or 15539186 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 540544304110400 its reverse (4011403445045), we get a palindrome (544555707555445).

The spelling of 540544304110400 in words is "five hundred forty trillion, five hundred forty-four billion, three hundred four million, one hundred ten thousand, four hundred".