4432460256400 has 60 divisors (see below), whose sum is σ = 11617075392624. Its totient is φ = 1611803728000.

The previous prime is 4432460256359. The next prime is 4432460256401. The reversal of 4432460256400 is 46520642344.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4432460256401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 503684266 + ... + 503693065.

Almost surely, 2^{4432460256400} is an apocalyptic number.

4432460256400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4432460256400 is an abundant number, since it is smaller than the sum of its proper divisors (7184615136224).

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

4432460256400 is a wasteful number, since it uses less digits than its factorization.

4432460256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007377360 (or 1007377349 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 4432460256400 its reverse (46520642344), we get a palindrome (4478980898744).

The spelling of 4432460256400 in words is "four trillion, four hundred thirty-two billion, four hundred sixty million, two hundred fifty-six thousand, four hundred".