4361561318400 has 2112 divisors, whose sum is σ = 18274446360576. Its totient is φ = 901840896000.

The previous prime is 4361561318383. The next prime is 4361561318453. The reversal of 4361561318400 is 48131651634.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7830450922 + ... + 7830451478.

Almost surely, 2^{4361561318400} is an apocalyptic number.

4361561318400 is a gapful number since it is divisible by the number (40) 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 4361561318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137223180288).

4361561318400 is an abundant number, since it is smaller than the sum of its proper divisors (13912885042176).

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

4361561318400 is a wasteful number, since it uses less digits than its factorization.

4361561318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 4361561318400 in words is "four trillion, three hundred sixty-one billion, five hundred sixty-one million, three hundred eighteen thousand, four hundred".