36213480820440 has 768 divisors, whose sum is σ = 156633672499200. Its totient is φ = 7028419507200.

The previous prime is 36213480820423. The next prime is 36213480820441. The reversal of 36213480820440 is 4402808431263.

It is a happy number.

36213480820440 is a `hidden beast` number, since 3 + 6 + 21 + 34 + 80 + 82 + 0 + 440 = 666.

It is a super-2 number, since 2×36213480820440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36213480820441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36910069 + ... + 37878491.

It is an arithmetic number, because the mean of its divisors is an integer number (203950094400).

Almost surely, 2^{36213480820440} is an apocalyptic number.

36213480820440 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 36213480820440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78316836249600).

36213480820440 is an abundant number, since it is smaller than the sum of its proper divisors (120420191678760).

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

36213480820440 is a wasteful number, since it uses less digits than its factorization.

36213480820440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968548 (or 968541 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 36213480820440 in words is "thirty-six trillion, two hundred thirteen billion, four hundred eighty million, eight hundred twenty thousand, four hundred forty".