1314630453400 has 384 divisors, whose sum is σ = 3687288998400. Its totient is φ = 430707200000.

The previous prime is 1314630453391. The next prime is 1314630453407. The reversal of 1314630453400 is 43540364131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314630453407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60152475 + ... + 60174325.

It is an arithmetic number, because the mean of its divisors is an integer number (9602315100).

Almost surely, 2^{1314630453400} is an apocalyptic number.

1314630453400 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 1314630453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843644499200).

1314630453400 is an abundant number, since it is smaller than the sum of its proper divisors (2372658545000).

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

1314630453400 is a wasteful number, since it uses less digits than its factorization.

1314630453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 1314630453400 in words is "one trillion, three hundred fourteen billion, six hundred thirty million, four hundred fifty-three thousand, four hundred".