36441807413760 has 800 divisors, whose sum is σ = 151057880962560. Its totient is φ = 8224092684288.

The previous prime is 36441807413741. The next prime is 36441807413761. The reversal of 36441807413760 is 6731470814463.

It is a happy number.

36441807413760 is a `hidden beast` number, since 3 + 6 + 44 + 180 + 7 + 413 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36441807413697 and 36441807413706.

It is not an unprimeable number, because it can be changed into a prime (36441807413761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114511182 + ... + 114828978.

Almost surely, 2^{36441807413760} is an apocalyptic number.

36441807413760 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 36441807413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528940481280).

36441807413760 is an abundant number, since it is smaller than the sum of its proper divisors (114616073548800).

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

36441807413760 is an equidigital number, since it uses as much as digits as its factorization.

36441807413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317918 (or 317893 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 36441807413760 in words is "thirty-six trillion, four hundred forty-one billion, eight hundred seven million, four hundred thirteen thousand, seven hundred sixty".