314001453310400 has 42 divisors (see below), whose sum is σ = 772639826055840. Its totient is φ = 125600581323520.

The previous prime is 314001453310399. The next prime is 314001453310429. The reversal of 314001453310400 is 4013354100413.

It is a happy number.

It is a super-2 number, since 2×314001453310400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98125452560 + ... + 98125455759.

Almost surely, 2^{314001453310400} is an apocalyptic number.

It is an amenable number.

314001453310400 is an abundant number, since it is smaller than the sum of its proper divisors (458638372745440).

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

314001453310400 is a wasteful number, since it uses less digits than its factorization.

314001453310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196250908341 (or 196250908326 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 314001453310400 in words is "three hundred fourteen trillion, one billion, four hundred fifty-three million, three hundred ten thousand, four hundred".