495243141120 has 2688 divisors, whose sum is σ = 2384630841600. Its totient is φ = 96315899904.

The previous prime is 495243141089. The next prime is 495243141181. The reversal of 495243141120 is 21141342594.

495243141120 is a `hidden beast` number, since 4 + 9 + 524 + 3 + 1 + 4 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 191 ways as a sum of consecutive naturals, for example, 13384949742 + ... + 13384949778.

It is an arithmetic number, because the mean of its divisors is an integer number (887139450).

Almost surely, 2^495243141120 is an apocalyptic number.

495243141120 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 495243141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192315420800).

495243141120 is an abundant number, since it is smaller than the sum of its proper divisors (1889387700480).

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

495243141120 is a wasteful number, since it uses less digits than its factorization.

495243141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 495243141120 in words is "four hundred ninety-five billion, two hundred forty-three million, one hundred forty-one thousand, one hundred twenty".