540041250554400 has 1152 divisors, whose sum is σ = 2065123743621120. Its totient is φ = 120008577024000.

The previous prime is 540041250554371. The next prime is 540041250554461. The reversal of 540041250554400 is 4455052140045.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346402340821 + ... + 346402342379.

It is an arithmetic number, because the mean of its divisors is an integer number (1792642138560).

Almost surely, 2^{540041250554400} is an apocalyptic number.

540041250554400 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 540041250554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032561871810560).

540041250554400 is an abundant number, since it is smaller than the sum of its proper divisors (1525082493066720).

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

540041250554400 is a wasteful number, since it uses less digits than its factorization.

540041250554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 39.

The spelling of 540041250554400 in words is "five hundred forty trillion, forty-one billion, two hundred fifty million, five hundred fifty-four thousand, four hundred".