540869040400 has 480 divisors, whose sum is σ = 1532851891200. Its totient is φ = 181614182400.

The previous prime is 540869040367. The next prime is 540869040403. The reversal of 540869040400 is 4040968045.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (540869040403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419602956 + ... + 419604244.

It is an arithmetic number, because the mean of its divisors is an integer number (3193441440).

Almost surely, 2^540869040400 is an apocalyptic number.

540869040400 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 540869040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766425945600).

540869040400 is an abundant number, since it is smaller than the sum of its proper divisors (991982850800).

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

540869040400 is a wasteful number, since it uses less digits than its factorization.

540869040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 540869040400 in words is "five hundred forty billion, eight hundred sixty-nine million, forty thousand, four hundred".