540121632336 has 240 divisors, whose sum is σ = 1853067146112. Its totient is φ = 144514022400.

The previous prime is 540121632331. The next prime is 540121632341. The reversal of 540121632336 is 633236121045.

540121632336 is a `hidden beast` number, since 5 + 4 + 0 + 12 + 1 + 632 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (540121632331) and next prime (540121632341).

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

It is a self number, because there is not a number n which added to its sum of digits gives 540121632336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540121632331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 96595 + ... + 1043826.

Almost surely, 2^540121632336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540121632336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926533573056).

540121632336 is an abundant number, since it is smaller than the sum of its proper divisors (1312945513776).

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

540121632336 is a wasteful number, since it uses less digits than its factorization.

540121632336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140482 (or 1140473 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 540121632336 in words is "five hundred forty billion, one hundred twenty-one million, six hundred thirty-two thousand, three hundred thirty-six".