314214123040400 has 240 divisors, whose sum is σ = 844753680875520. Its totient is φ = 111335970316800.

The previous prime is 314214123040399. The next prime is 314214123040463. The reversal of 314214123040400 is 4040321412413.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43596881 + ... + 50290319.

It is an arithmetic number, because the mean of its divisors is an integer number (3519807003648).

Almost surely, 2^{314214123040400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314214123040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422376840437760).

314214123040400 is an abundant number, since it is smaller than the sum of its proper divisors (530539557835120).

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

314214123040400 is a wasteful number, since it uses less digits than its factorization.

314214123040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693742 (or 6693731 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 314214123040400 its reverse (4040321412413), we get a palindrome (318254444452813).

The spelling of 314214123040400 in words is "three hundred fourteen trillion, two hundred fourteen billion, one hundred twenty-three million, forty thousand, four hundred".