3404114102400 has 288 divisors, whose sum is σ = 12324268748400. Its totient is φ = 825239500800.

The previous prime is 3404114102399. The next prime is 3404114102461. The reversal of 3404114102400 is 42014114043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303670 + ... + 2626869.

Almost surely, 2^{3404114102400} is an apocalyptic number.

3404114102400 is a gapful number since it is divisible by the number (30) 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 3404114102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162134374200).

3404114102400 is an abundant number, since it is smaller than the sum of its proper divisors (8920154646000).

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

3404114102400 is a wasteful number, since it uses less digits than its factorization.

3404114102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930588 (or 2930560 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3404114102400 its reverse (42014114043), we get a palindrome (3446128216443).

The spelling of 3404114102400 in words is "three trillion, four hundred four billion, one hundred fourteen million, one hundred two thousand, four hundred".