4457231906400 has 2880 divisors, whose sum is σ = 21241400463360. Its totient is φ = 884149862400.

The previous prime is 4457231906359. The next prime is 4457231906419. The reversal of 4457231906400 is 46091327544.

4457231906400 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 231 + 9 + 0 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6763629271 + ... + 6763629929.

It is an arithmetic number, because the mean of its divisors is an integer number (7375486272).

Almost surely, 2^{4457231906400} is an apocalyptic number.

4457231906400 is a gapful number since it is divisible by the number (40) 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 4457231906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10620700231680).

4457231906400 is an abundant number, since it is smaller than the sum of its proper divisors (16784168556960).

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

4457231906400 is a wasteful number, since it uses less digits than its factorization.

4457231906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4457231906400 in words is "four trillion, four hundred fifty-seven billion, two hundred thirty-one million, nine hundred six thousand, four hundred".