12161533440 has 480 divisors, whose sum is σ = 47912049504. Its totient is φ = 2614886400.

The previous prime is 12161533421. The next prime is 12161533453. The reversal of 12161533440 is 4433516121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×12161533440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12161533398 and 12161533407.

It is a congruent number.

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, 6396490 + ... + 6398390.

Almost surely, 2^12161533440 is an apocalyptic number.

12161533440 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 12161533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23956024752).

12161533440 is an abundant number, since it is smaller than the sum of its proper divisors (35750516064).

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

12161533440 is a wasteful number, since it uses less digits than its factorization.

12161533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12161533440 in words is "twelve billion, one hundred sixty-one million, five hundred thirty-three thousand, four hundred forty".