36414097600000 has 240 divisors, whose sum is σ = 93398525611776. Its totient is φ = 14171950080000.

The previous prime is 36414097599953. The next prime is 36414097600033. The reversal of 36414097600000 is 679041463.

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

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 23 ways as a sum of consecutive naturals, for example, 58892449 + ... + 59507551.

Almost surely, 2^{36414097600000} 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 36414097600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46699262805888).

36414097600000 is an abundant number, since it is smaller than the sum of its proper divisors (56984428011776).

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

36414097600000 is an frugal number, since it uses more digits than its factorization.

36414097600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615183 (or 615147 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 36414097600000 in words is "thirty-six trillion, four hundred fourteen billion, ninety-seven million, six hundred thousand".