540022454400 has 384 divisors, whose sum is σ = 2089665627840. Its totient is φ = 120843878400.

The previous prime is 540022454351. The next prime is 540022454407. The reversal of 540022454400 is 4454220045.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (540022454407) 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, 1176114 + ... + 1569486.

Almost surely, 2^540022454400 is an apocalyptic number.

540022454400 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 540022454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044832813920).

540022454400 is an abundant number, since it is smaller than the sum of its proper divisors (1549643173440).

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

540022454400 is a wasteful number, since it uses less digits than its factorization.

540022454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393424 (or 393407 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 540022454400 its reverse (4454220045), we get a palindrome (544476674445).

The spelling of 540022454400 in words is "five hundred forty billion, twenty-two million, four hundred fifty-four thousand, four hundred".