36404004000000 has 4032 divisors, whose sum is σ = 165147976078848. Its totient is φ = 6900940800000.

The previous prime is 36404003999999. The next prime is 36404004000029. The reversal of 36404004000000 is 40040463.

It is a super-3 number, since 3×36404004000000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 686867999974 + ... + 686868000026.

It is an arithmetic number, because the mean of its divisors is an integer number (40959319464).

Almost surely, 2^{36404004000000} is an apocalyptic number.

36404004000000 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 36404004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82573988039424).

36404004000000 is an abundant number, since it is smaller than the sum of its proper divisors (128743972078848).

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

36404004000000 is an equidigital number, since it uses as much as digits as its factorization.

36404004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 36404004000000 its reverse (40040463), we get a palindrome (36404044040463).

The spelling of 36404004000000 in words is "thirty-six trillion, four hundred four billion, four million", and thus it is an aban number.