1232406433440 has 1440 divisors, whose sum is σ = 5558251539456. Its totient is φ = 251539292160.

The previous prime is 1232406433429. The next prime is 1232406433457. The reversal of 1232406433440 is 443346042321.

1232406433440 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 0 + 643 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1232406433395 and 1232406433404.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 475280784 + ... + 475283376.

Almost surely, 2^{1232406433440} is an apocalyptic number.

1232406433440 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 1232406433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779125769728).

1232406433440 is an abundant number, since it is smaller than the sum of its proper divisors (4325845106016).

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

1232406433440 is a wasteful number, since it uses less digits than its factorization.

1232406433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 1232406433440 in words is "one trillion, two hundred thirty-two billion, four hundred six million, four hundred thirty-three thousand, four hundred forty".