540475740000 has 720 divisors, whose sum is σ = 2276418912768. Its totient is φ = 123529536000.

The previous prime is 540475739987. The next prime is 540475740011. The reversal of 540475740000 is 47574045.

540475740000 is a `hidden beast` number, since 5 + 40 + 47 + 574 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×540475740000² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34012057 + ... + 34027943.

Almost surely, 2^540475740000 is an apocalyptic number.

540475740000 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 540475740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138209456384).

540475740000 is an abundant number, since it is smaller than the sum of its proper divisors (1735943172768).

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

540475740000 is an equidigital number, since it uses as much as digits as its factorization.

540475740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 540475740000 in words is "five hundred forty billion, four hundred seventy-five million, seven hundred forty thousand".