455117000742200 has 96 divisors (see below), whose sum is σ = 1062916853967360. Its totient is φ = 181226222947200.

The previous prime is 455117000742179. The next prime is 455117000742241. The reversal of 455117000742200 is 2247000711554.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505135767 + ... + 2505317433.

It is an arithmetic number, because the mean of its divisors is an integer number (11072050562160).

Almost surely, 2^{455117000742200} is an apocalyptic number.

455117000742200 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 455117000742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531458426983680).

455117000742200 is an abundant number, since it is smaller than the sum of its proper divisors (607799853225160).

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

455117000742200 is a wasteful number, since it uses less digits than its factorization.

455117000742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238077 (or 238068 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 455117000742200 in words is "four hundred fifty-five trillion, one hundred seventeen billion, seven hundred forty-two thousand, two hundred".