1714400400 has 120 divisors (see below), whose sum is σ = 5780914720. Its totient is φ = 433105920.

The previous prime is 1714400393. The next prime is 1714400437. The reversal of 1714400400 is 40044171.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14797 + ... + 60396.

Almost surely, 2^1714400400 is an apocalyptic number.

1714400400 is a gapful number since it is divisible by the number (10) 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 1714400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890457360).

1714400400 is an abundant number, since it is smaller than the sum of its proper divisors (4066514320).

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

1714400400 is a wasteful number, since it uses less digits than its factorization.

1714400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75233 (or 75222 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1714400400 is about 41405.3184989561. The cubic root of 1714400400 is about 1196.8436496002.

Adding to 1714400400 its reverse (40044171), we get a palindrome (1754444571).

The spelling of 1714400400 in words is "one billion, seven hundred fourteen million, four hundred thousand, four hundred".