4104003014400 has 216 divisors, whose sum is σ = 13550341722624. Its totient is φ = 1093893632000.

The previous prime is 4104003014359. The next prime is 4104003014429. The reversal of 4104003014400 is 44103004014.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42325975 + ... + 42422825.

Almost surely, 2^{4104003014400} is an apocalyptic number.

4104003014400 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 4104003014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775170861312).

4104003014400 is an abundant number, since it is smaller than the sum of its proper divisors (9446338708224).

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

4104003014400 is a wasteful number, since it uses less digits than its factorization.

4104003014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99087 (or 99068 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4104003014400 its reverse (44103004014), we get a palindrome (4148106018414).

The spelling of 4104003014400 in words is "four trillion, one hundred four billion, three million, fourteen thousand, four hundred".