10235665440 has 1152 divisors, whose sum is σ = 48819843072. Its totient is φ = 1955819520.

The previous prime is 10235665421. The next prime is 10235665483. The reversal of 10235665440 is 4456653201.

10235665440 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 566 + 54 + 40 = 666.

It is a super-2 number, since 2×10235665440² (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 = 10235665395 and 10235665404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38918749 + ... + 38919011.

It is an arithmetic number, because the mean of its divisors is an integer number (42378336).

Almost surely, 2^10235665440 is an apocalyptic number.

10235665440 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 10235665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24409921536).

10235665440 is an abundant number, since it is smaller than the sum of its proper divisors (38584177632).

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

10235665440 is a wasteful number, since it uses less digits than its factorization.

10235665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10235665440 in words is "ten billion, two hundred thirty-five million, six hundred sixty-five thousand, four hundred forty".