361251878400 has 960 divisors, whose sum is σ = 1564602716160. Its totient is φ = 79891660800.

The previous prime is 361251878303. The next prime is 361251878411. The reversal of 361251878400 is 4878152163.

361251878400 is a `hidden beast` number, since 3 + 61 + 2 + 5 + 187 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74992792 + ... + 74997608.

It is an arithmetic number, because the mean of its divisors is an integer number (1629794496).

Almost surely, 2^361251878400 is an apocalyptic number.

361251878400 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 361251878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782301358080).

361251878400 is an abundant number, since it is smaller than the sum of its proper divisors (1203350837760).

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

361251878400 is a wasteful number, since it uses less digits than its factorization.

361251878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 361251878400 in words is "three hundred sixty-one billion, two hundred fifty-one million, eight hundred seventy-eight thousand, four hundred".