12433812421440 has 224 divisors, whose sum is σ = 39555709194240. Its totient is φ = 3309108480000.

The previous prime is 12433812421417. The next prime is 12433812421507. The reversal of 12433812421440 is 4412421833421.

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, 1320073051 + ... + 1320082469.

Almost surely, 2^{12433812421440} is an apocalyptic number.

12433812421440 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 12433812421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19777854597120).

12433812421440 is an abundant number, since it is smaller than the sum of its proper divisors (27121896772800).

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

12433812421440 is a wasteful number, since it uses less digits than its factorization.

12433812421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 12433812421440 in words is "twelve trillion, four hundred thirty-three billion, eight hundred twelve million, four hundred twenty-one thousand, four hundred forty".