36435221222400 has 3168 divisors, whose sum is σ = 185480104013568. Its totient is φ = 6576773529600.

The previous prime is 36435221222377. The next prime is 36435221222447. The reversal of 36435221222400 is 422212253463.

36435221222400 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 5 + 2 + 21 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3920712154 + ... + 3920721446.

Almost surely, 2^{36435221222400} is an apocalyptic number.

36435221222400 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 36435221222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92740052006784).

36435221222400 is an abundant number, since it is smaller than the sum of its proper divisors (149044882791168).

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

36435221222400 is a wasteful number, since it uses less digits than its factorization.

36435221222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 36435221222400 its reverse (422212253463), we get a palindrome (36857433475863).

The spelling of 36435221222400 in words is "thirty-six trillion, four hundred thirty-five billion, two hundred twenty-one million, two hundred twenty-two thousand, four hundred".