4181360500800 has 1008 divisors, whose sum is σ = 18564070966272. Its totient is φ = 870491750400.

The previous prime is 4181360500727. The next prime is 4181360500813. The reversal of 4181360500800 is 80050631814.

4181360500800 is a `hidden beast` number, since 4 + 1 + 8 + 13 + 60 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53082244 + ... + 53160956.

Almost surely, 2^{4181360500800} is an apocalyptic number.

4181360500800 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 4181360500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282035483136).

4181360500800 is an abundant number, since it is smaller than the sum of its proper divisors (14382710465472).

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

4181360500800 is a wasteful number, since it uses less digits than its factorization.

4181360500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78796 (or 78778 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 4181360500800 in words is "four trillion, one hundred eighty-one billion, three hundred sixty million, five hundred thousand, eight hundred".