10133674334440 has 192 divisors, whose sum is σ = 25788913176960. Its totient is φ = 3573887961600.

The previous prime is 10133674334423. The next prime is 10133674334473. The reversal of 10133674334440 is 4443347633101.

10133674334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10133674334440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11876115 + ... + 12700765.

It is an arithmetic number, because the mean of its divisors is an integer number (134317256130).

Almost surely, 2^{10133674334440} is an apocalyptic number.

10133674334440 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 10133674334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894456588480).

10133674334440 is an abundant number, since it is smaller than the sum of its proper divisors (15655238842520).

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

10133674334440 is a wasteful number, since it uses less digits than its factorization.

10133674334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824760 (or 824737 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 10133674334440 in words is "ten trillion, one hundred thirty-three billion, six hundred seventy-four million, three hundred thirty-four thousand, four hundred forty".