283904375040 has 1728 divisors, whose sum is σ = 1234233262080. Its totient is φ = 59268464640.

The previous prime is 283904375039. The next prime is 283904375081. The reversal of 283904375040 is 40573409382.

283904375040 is a `hidden beast` number, since 2 + 83 + 90 + 437 + 50 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 2235467457 + ... + 2235467583.

It is an arithmetic number, because the mean of its divisors is an integer number (714255360).

Almost surely, 2^283904375040 is an apocalyptic number.

283904375040 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 283904375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617116631040).

283904375040 is an abundant number, since it is smaller than the sum of its proper divisors (950328887040).

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

283904375040 is a wasteful number, since it uses less digits than its factorization.

283904375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

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

The spelling of 283904375040 in words is "two hundred eighty-three billion, nine hundred four million, three hundred seventy-five thousand, forty".