10233785368440 has 448 divisors, whose sum is σ = 34971463612800. Its totient is φ = 2693994888960.

The previous prime is 10233785368361. The next prime is 10233785368441. The reversal of 10233785368440 is 4486358733201.

It is a happy number.

10233785368440 is a `hidden beast` number, since 1 + 0 + 2 + 33 + 78 + 536 + 8 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233785368441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37763045505 + ... + 37763045775.

Almost surely, 2^{10233785368440} is an apocalyptic number.

10233785368440 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 10233785368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17485731806400).

10233785368440 is an abundant number, since it is smaller than the sum of its proper divisors (24737678244360).

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

10233785368440 is an frugal number, since it uses more digits than its factorization.

10233785368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 10233785368440 in words is "ten trillion, two hundred thirty-three billion, seven hundred eighty-five million, three hundred sixty-eight thousand, four hundred forty".