132010121311440 has 160 divisors (see below), whose sum is σ = 412211270540160. Its totient is φ = 34946407999488.

The previous prime is 132010121311429. The next prime is 132010121311511. The reversal of 132010121311440 is 44113121010231.

It is a super-2 number, since 2×132010121311440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132010121311440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397919074 + ... + 398250686.

It is an arithmetic number, because the mean of its divisors is an integer number (2576320440876).

Almost surely, 2^{132010121311440} is an apocalyptic number.

132010121311440 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 132010121311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206105635270080).

132010121311440 is an abundant number, since it is smaller than the sum of its proper divisors (280201149228720).

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

132010121311440 is a wasteful number, since it uses less digits than its factorization.

132010121311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343701 (or 343695 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 132010121311440 its reverse (44113121010231), we get a palindrome (176123242321671).

The spelling of 132010121311440 in words is "one hundred thirty-two trillion, ten billion, one hundred twenty-one million, three hundred eleven thousand, four hundred forty".