10133541440 has 56 divisors (see below), whose sum is σ = 26324186112. Its totient is φ = 3684922880.

The previous prime is 10133541421. The next prime is 10133541443. The reversal of 10133541440 is 4414533101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10133541443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435904 + ... + 1442943.

It is an arithmetic number, because the mean of its divisors is an integer number (470074752).

Almost surely, 2^10133541440 is an apocalyptic number.

10133541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133541440 is an abundant number, since it is smaller than the sum of its proper divisors (16190644672).

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

10133541440 is a wasteful number, since it uses less digits than its factorization.

10133541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878875 (or 2878865 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

It can be divided in two parts, 1013 and 3541440, that added together give a palindrome (3542453).

The spelling of 10133541440 in words is "ten billion, one hundred thirty-three million, five hundred forty-one thousand, four hundred forty".