3404124442400 has 144 divisors (see below), whose sum is σ = 9155565131328. Its totient is φ = 1225607040000.

The previous prime is 3404124442393. The next prime is 3404124442549. The reversal of 3404124442400 is 42444214043.

It is a super-2 number, since 2×3404124442400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 1026212 + ... + 2803811.

It is an arithmetic number, because the mean of its divisors is an integer number (63580313412).

Almost surely, 2^{3404124442400} is an apocalyptic number.

It is an amenable number.

3404124442400 is an abundant number, since it is smaller than the sum of its proper divisors (5751440688928).

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

3404124442400 is a wasteful number, since it uses less digits than its factorization.

3404124442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830155 (or 3830142 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 3404124442400 its reverse (42444214043), we get a palindrome (3446568656443).

The spelling of 3404124442400 in words is "three trillion, four hundred four billion, one hundred twenty-four million, four hundred forty-two thousand, four hundred".