10283495040 has 768 divisors, whose sum is σ = 45658529280. Its totient is φ = 2072936448.

The previous prime is 10283495009. The next prime is 10283495051. The reversal of 10283495040 is 4059438201.

10283495040 is a `hidden beast` number, since 102 + 8 + 3 + 49 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10283494986 and 10283495004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12055254 + ... + 12056106.

It is an arithmetic number, because the mean of its divisors is an integer number (59451210).

Almost surely, 2^10283495040 is an apocalyptic number.

10283495040 is a gapful number since it is divisible by the number (10) 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 10283495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829264640).

10283495040 is an abundant number, since it is smaller than the sum of its proper divisors (35375034240).

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

10283495040 is a wasteful number, since it uses less digits than its factorization.

10283495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 906 counting only the distinct ones).

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

The spelling of 10283495040 in words is "ten billion, two hundred eighty-three million, four hundred ninety-five thousand, forty".