36198416400 has 60 divisors (see below), whose sum is σ = 115955597712. Its totient is φ = 9652910720.

The previous prime is 36198416363. The next prime is 36198416407. The reversal of 36198416400 is 461489163.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (36198416407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15081474 + ... + 15083873.

Almost surely, 2^36198416400 is an apocalyptic number.

36198416400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36198416400 is an abundant number, since it is smaller than the sum of its proper divisors (79757181312).

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

36198416400 is a wasteful number, since it uses less digits than its factorization.

36198416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30165368 (or 30165357 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 36198416400 in words is "thirty-six billion, one hundred ninety-eight million, four hundred sixteen thousand, four hundred".