10240033440 has 384 divisors, whose sum is σ = 40303872000. Its totient is φ = 2127679488.

The previous prime is 10240033439. The next prime is 10240033471. The reversal of 10240033440 is 4433004201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2924811 + ... + 2928309.

It is an arithmetic number, because the mean of its divisors is an integer number (104958000).

Almost surely, 2^10240033440 is an apocalyptic number.

10240033440 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 10240033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20151936000).

10240033440 is an abundant number, since it is smaller than the sum of its proper divisors (30063838560).

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

10240033440 is a wasteful number, since it uses less digits than its factorization.

10240033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10240033440 its reverse (4433004201), we get a palindrome (14673037641).

The spelling of 10240033440 in words is "ten billion, two hundred forty million, thirty-three thousand, four hundred forty".