10442800368 has 1280 divisors, whose sum is σ = 44797132800. Its totient is φ = 2239488000.

The previous prime is 10442800367. The next prime is 10442800369. The reversal of 10442800368 is 86300824401.

10442800368 is a `hidden beast` number, since 10 + 4 + 4 + 280 + 0 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (10442800367) and next prime (10442800369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442800367) 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, 254702428 + ... + 254702468.

It is an arithmetic number, because the mean of its divisors is an integer number (34997760).

Almost surely, 2^10442800368 is an apocalyptic number.

10442800368 is a gapful number since it is divisible by the number (18) 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 10442800368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398566400).

10442800368 is an abundant number, since it is smaller than the sum of its proper divisors (34354332432).

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

10442800368 is a wasteful number, since it uses less digits than its factorization.

10442800368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10442800368 in words is "ten billion, four hundred forty-two million, eight hundred thousand, three hundred sixty-eight".