10626233940 has 768 divisors, whose sum is σ = 41803776000. Its totient is φ = 2188892160.

The previous prime is 10626233903. The next prime is 10626233941. The reversal of 10626233940 is 4933262601.

10626233940 is a `hidden beast` number, since 1 + 0 + 6 + 262 + 3 + 394 + 0 = 666.

It is a super-2 number, since 2×10626233940² (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 = 10626233895 and 10626233904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626233941) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 180105631 + ... + 180105689.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 2^10626233940 is an apocalyptic number.

10626233940 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 10626233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888000).

10626233940 is an abundant number, since it is smaller than the sum of its proper divisors (31177542060).

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

10626233940 is a wasteful number, since it uses less digits than its factorization.

10626233940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10626233940 in words is "ten billion, six hundred twenty-six million, two hundred thirty-three thousand, nine hundred forty".