4381975844400 has 1440 divisors, whose sum is σ = 18749942149120. Its totient is φ = 853854566400.

The previous prime is 4381975844387. The next prime is 4381975844431. The reversal of 4381975844400 is 44485791834.

It is a super-2 number, since 2×4381975844400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1989093699 + ... + 1989095901.

Almost surely, 2^{4381975844400} is an apocalyptic number.

4381975844400 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 4381975844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374971074560).

4381975844400 is an abundant number, since it is smaller than the sum of its proper divisors (14367966304720).

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

4381975844400 is a wasteful number, since it uses less digits than its factorization.

4381975844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 4381975844400 in words is "four trillion, three hundred eighty-one billion, nine hundred seventy-five million, eight hundred forty-four thousand, four hundred".