1314051110400 has 480 divisors, whose sum is σ = 5062308134400. Its totient is φ = 300351528960.

The previous prime is 1314051110377. The next prime is 1314051110419. The reversal of 1314051110400 is 40111504131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 13121317 + ... + 13221083.

It is an arithmetic number, because the mean of its divisors is an integer number (10546475280).

Almost surely, 2^{1314051110400} is an apocalyptic number.

1314051110400 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 1314051110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531154067200).

1314051110400 is an abundant number, since it is smaller than the sum of its proper divisors (3748257024000).

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

1314051110400 is an frugal number, since it uses more digits than its factorization.

1314051110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99819 (or 99784 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 1314051110400 its reverse (40111504131), we get a palindrome (1354162614531).

The spelling of 1314051110400 in words is "one trillion, three hundred fourteen billion, fifty-one million, one hundred ten thousand, four hundred".