283073495040 has 960 divisors, whose sum is σ = 1177724620800. Its totient is φ = 63163072512.

The previous prime is 283073495017. The next prime is 283073495041. The reversal of 283073495040 is 40594370382.

283073495040 is a `hidden beast` number, since 2 + 8 + 30 + 73 + 49 + 504 + 0 = 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 not an unprimeable number, because it can be changed into a prime (283073495041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727695166 + ... + 727695554.

It is an arithmetic number, because the mean of its divisors is an integer number (1226796480).

Almost surely, 2^283073495040 is an apocalyptic number.

283073495040 is a gapful number since it is divisible by the number (20) 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 283073495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588862310400).

283073495040 is an abundant number, since it is smaller than the sum of its proper divisors (894651125760).

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

283073495040 is an equidigital number, since it uses as much as digits as its factorization.

283073495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 283073495040 in words is "two hundred eighty-three billion, seventy-three million, four hundred ninety-five thousand, forty".