10445783040 has 864 divisors, whose sum is σ = 47110242816. Its totient is φ = 2076180480.

The previous prime is 10445783039. The next prime is 10445783053. The reversal of 10445783040 is 4038754401.

10445783040 is a `hidden beast` number, since 1 + 0 + 44 + 578 + 3 + 0 + 40 = 666.

It is a super-2 number, since 2×10445783040² (a number of 21 digits) contains 22 as substring.

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 = 10445782986 and 10445783004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454164469 + ... + 454164491.

It is an arithmetic number, because the mean of its divisors is an integer number (54525744).

Almost surely, 2^10445783040 is an apocalyptic number.

10445783040 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 10445783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23555121408).

10445783040 is an abundant number, since it is smaller than the sum of its proper divisors (36664459776).

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

10445783040 is an equidigital number, since it uses as much as digits as its factorization.

10445783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10445783040 in words is "ten billion, four hundred forty-five million, seven hundred eighty-three thousand, forty".