314431404000 has 384 divisors, whose sum is σ = 1199460068352. Its totient is φ = 70512998400.

The previous prime is 314431403999. The next prime is 314431404037. The reversal of 314431404000 is 404134413.

It is a super-2 number, since 2×314431404000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 4416687 + ... + 4487313.

It is an arithmetic number, because the mean of its divisors is an integer number (3123593928).

Almost surely, 2^314431404000 is an apocalyptic number.

314431404000 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 314431404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599730034176).

314431404000 is an abundant number, since it is smaller than the sum of its proper divisors (885028664352).

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

314431404000 is a wasteful number, since it uses less digits than its factorization.

314431404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70715 (or 70697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314431404000 its reverse (404134413), we get a palindrome (314835538413).

The spelling of 314431404000 in words is "three hundred fourteen billion, four hundred thirty-one million, four hundred four thousand".