10233749666040 has 256 divisors, whose sum is σ = 32048655851520. Its totient is φ = 2612239956480.

The previous prime is 10233749666011. The next prime is 10233749666093. The reversal of 10233749666040 is 4066694733201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61098487 + ... + 61265753.

It is an arithmetic number, because the mean of its divisors is an integer number (125190061920).

Almost surely, 2^{10233749666040} is an apocalyptic number.

10233749666040 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 10233749666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024327925760).

10233749666040 is an abundant number, since it is smaller than the sum of its proper divisors (21814906185480).

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

10233749666040 is a wasteful number, since it uses less digits than its factorization.

10233749666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167562 (or 167558 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 10233749666040 in words is "ten trillion, two hundred thirty-three billion, seven hundred forty-nine million, six hundred sixty-six thousand, forty".