36441600000 has 624 divisors, whose sum is σ = 132583326624. Its totient is φ = 8847360000.

The previous prime is 36441599989. The next prime is 36441600049. The reversal of 36441600000 is 614463.

It is a tau number, because it is divible by the number of its divisors (624).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499199964 + ... + 499200036.

Almost surely, 2^36441600000 is an apocalyptic number.

36441600000 is a gapful number since it is divisible by the number (30) 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 36441600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66291663312).

36441600000 is an abundant number, since it is smaller than the sum of its proper divisors (96141726624).

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

36441600000 is an frugal number, since it uses more digits than its factorization.

36441600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 36441600000 in words is "thirty-six billion, four hundred forty-one million, six hundred thousand".