314140012243200 has 2592 divisors, whose sum is σ = 1400854270338432. Its totient is φ = 65983610880000.

The previous prime is 314140012243193. The next prime is 314140012243231. The reversal of 314140012243200 is 2342210041413.

314140012243200 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 400 + 1 + 224 + 32 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55590160375 + ... + 55590166025.

It is an arithmetic number, because the mean of its divisors is an integer number (540453036396).

Almost surely, 2^{314140012243200} is an apocalyptic number.

314140012243200 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 314140012243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700427135169216).

314140012243200 is an abundant number, since it is smaller than the sum of its proper divisors (1086714258095232).

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

314140012243200 is a wasteful number, since it uses less digits than its factorization.

314140012243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314140012243200 its reverse (2342210041413), we get a palindrome (316482222284613).

The spelling of 314140012243200 in words is "three hundred fourteen trillion, one hundred forty billion, twelve million, two hundred forty-three thousand, two hundred".