4003331340400 has 180 divisors, whose sum is σ = 11196513892872. Its totient is φ = 1371561838080.

The previous prime is 4003331340397. The next prime is 4003331340457. The reversal of 4003331340400 is 40431333004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26836419 + ... + 26985181.

Almost surely, 2^{4003331340400} is an apocalyptic number.

4003331340400 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 4003331340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598256946436).

4003331340400 is an abundant number, since it is smaller than the sum of its proper divisors (7193182552472).

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

4003331340400 is a wasteful number, since it uses less digits than its factorization.

4003331340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150168 (or 150150 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 4003331340400 its reverse (40431333004), we get a palindrome (4043762673404).

The spelling of 4003331340400 in words is "four trillion, three billion, three hundred thirty-one million, three hundred forty thousand, four hundred".