10133034440 has 64 divisors (see below), whose sum is σ = 23207333760. Its totient is φ = 3981035520.

The previous prime is 10133034427. The next prime is 10133034469. The reversal of 10133034440 is 4443033101.

It is a super-2 number, since 2×10133034440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940685 + ... + 951395.

It is an arithmetic number, because the mean of its divisors is an integer number (362614590).

Almost surely, 2^10133034440 is an apocalyptic number.

10133034440 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 10133034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603666880).

10133034440 is an abundant number, since it is smaller than the sum of its proper divisors (13074299320).

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

10133034440 is a wasteful number, since it uses less digits than its factorization.

10133034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10133034440 its reverse (4443033101), we get a palindrome (14576067541).

The spelling of 10133034440 in words is "ten billion, one hundred thirty-three million, thirty-four thousand, four hundred forty".