540214402400 has 72 divisors (see below), whose sum is σ = 1320708297384. Its totient is φ = 215772825600.

The previous prime is 540214402397. The next prime is 540214402433. The reversal of 540214402400 is 4204412045.

It is a self number, because there is not a number n which added to its sum of digits gives 540214402400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64184 + ... + 1041416.

It is an arithmetic number, because the mean of its divisors is an integer number (18343170797).

Almost surely, 2^540214402400 is an apocalyptic number.

540214402400 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 540214402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660354148692).

540214402400 is an abundant number, since it is smaller than the sum of its proper divisors (780493894984).

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

540214402400 is a wasteful number, since it uses less digits than its factorization.

540214402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977944 (or 977931 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 540214402400 its reverse (4204412045), we get a palindrome (544418814445).

The spelling of 540214402400 in words is "five hundred forty billion, two hundred fourteen million, four hundred two thousand, four hundred".