3414055430400 has 432 divisors, whose sum is σ = 11461762900224. Its totient is φ = 894748631040.

The previous prime is 3414055430287. The next prime is 3414055430411. The reversal of 3414055430400 is 40345504143.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 600745959 + ... + 600751641.

Almost surely, 2^{3414055430400} is an apocalyptic number.

3414055430400 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 3414055430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730881450112).

3414055430400 is an abundant number, since it is smaller than the sum of its proper divisors (8047707469824).

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

3414055430400 is a wasteful number, since it uses less digits than its factorization.

3414055430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 3414055430400 in words is "three trillion, four hundred fourteen billion, fifty-five million, four hundred thirty thousand, four hundred".