10223533440 has 384 divisors, whose sum is σ = 37712394720. Its totient is φ = 2543124480.

The previous prime is 10223533429. The next prime is 10223533447. The reversal of 10223533440 is 4433532201.

10223533440 is a `hidden beast` number, since 102 + 23 + 533 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223533447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12827122 + ... + 12827918.

Almost surely, 2^10223533440 is an apocalyptic number.

10223533440 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 10223533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856197360).

10223533440 is an abundant number, since it is smaller than the sum of its proper divisors (27488861280).

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

10223533440 is a wasteful number, since it uses less digits than its factorization.

10223533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 10223533440 in words is "ten billion, two hundred twenty-three million, five hundred thirty-three thousand, four hundred forty".