10223591040 has 512 divisors, whose sum is σ = 39604723200. Its totient is φ = 2477260800.

The previous prime is 10223591023. The next prime is 10223591093. The reversal of 10223591040 is 4019532201.

10223591040 is a `hidden beast` number, since 10 + 2 + 23 + 591 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10223590995 and 10223591013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15949120 + ... + 15949760.

It is an arithmetic number, because the mean of its divisors is an integer number (77352975).

Almost surely, 2^10223591040 is an apocalyptic number.

10223591040 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 10223591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802361600).

10223591040 is an abundant number, since it is smaller than the sum of its proper divisors (29381132160).

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

10223591040 is a wasteful number, since it uses less digits than its factorization.

10223591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10223591040 in words is "ten billion, two hundred twenty-three million, five hundred ninety-one thousand, forty".