540901670400 has 2520 divisors, whose sum is σ = 2537281018800. Its totient is φ = 114124308480.

The previous prime is 540901670377. The next prime is 540901670443. The reversal of 540901670400 is 4076109045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

540901670400 is a `hidden beast` number, since 5 + 4 + 0 + 90 + 167 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 41607820794 + ... + 41607820806.

Almost surely, 2^540901670400 is an apocalyptic number.

540901670400 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 540901670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268640509400).

540901670400 is an abundant number, since it is smaller than the sum of its proper divisors (1996379348400).

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

540901670400 is an frugal number, since it uses more digits than its factorization.

540901670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 540901670400 its reverse (4076109045), we get a palindrome (544977779445).

The spelling of 540901670400 in words is "five hundred forty billion, nine hundred one million, six hundred seventy thousand, four hundred".