540403364150100 has 432 divisors, whose sum is σ = 1974499223336640. Its totient is φ = 122169387110400.

The previous prime is 540403364150081. The next prime is 540403364150123. The reversal of 540403364150100 is 1051463304045.

540403364150100 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 0 + 3 + 3 + 641 + 5 + 0 + 1 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 3615559 + ... + 33073841.

It is an arithmetic number, because the mean of its divisors is an integer number (4570600054020).

Almost surely, 2^{540403364150100} is an apocalyptic number.

540403364150100 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 540403364150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987249611668320).

540403364150100 is an abundant number, since it is smaller than the sum of its proper divisors (1434095859186540).

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

540403364150100 is a wasteful number, since it uses less digits than its factorization.

540403364150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29458440 (or 29458430 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 540403364150100 in words is "five hundred forty trillion, four hundred three billion, three hundred sixty-four million, one hundred fifty thousand, one hundred".