36461404000 has 192 divisors, whose sum is σ = 103405341312. Its totient is φ = 12376320000.

The previous prime is 36461403977. The next prime is 36461404027. The reversal of 36461404000 is 40416463.

It is a happy number.

36461404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 36461404000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2821554 + ... + 2834446.

It is an arithmetic number, because the mean of its divisors is an integer number (538569486).

Almost surely, 2^36461404000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36461404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51702670656).

36461404000 is an abundant number, since it is smaller than the sum of its proper divisors (66943937312).

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

36461404000 is a wasteful number, since it uses less digits than its factorization.

36461404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 36461404000 in words is "thirty-six billion, four hundred sixty-one million, four hundred four thousand".