10033853440 has 176 divisors, whose sum is σ = 26147100672. Its totient is φ = 3672539136.

The previous prime is 10033853411. The next prime is 10033853449. The reversal of 10033853440 is 4435833001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033853449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8452527 + ... + 8453713.

It is an arithmetic number, because the mean of its divisors is an integer number (148563072).

Almost surely, 2^10033853440 is an apocalyptic number.

10033853440 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 10033853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073550336).

10033853440 is an abundant number, since it is smaller than the sum of its proper divisors (16113247232).

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

10033853440 is a wasteful number, since it uses less digits than its factorization.

10033853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 10033853440 in words is "ten billion, thirty-three million, eight hundred fifty-three thousand, four hundred forty".