36471404400 has 240 divisors, whose sum is σ = 123488346240. Its totient is φ = 9175680000.

The previous prime is 36471404371. The next prime is 36471404443. The reversal of 36471404400 is 440417463.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5719614 + ... + 5725986.

It is an arithmetic number, because the mean of its divisors is an integer number (514534776).

Almost surely, 2^36471404400 is an apocalyptic number.

36471404400 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 36471404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61744173120).

36471404400 is an abundant number, since it is smaller than the sum of its proper divisors (87016941840).

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

36471404400 is a wasteful number, since it uses less digits than its factorization.

36471404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 36471404400 in words is "thirty-six billion, four hundred seventy-one million, four hundred four thousand, four hundred".