1314455404400 has 120 divisors (see below), whose sum is σ = 3205027686528. Its totient is φ = 517960800000.

The previous prime is 1314455404387. The next prime is 1314455404403. The reversal of 1314455404400 is 44045544131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314455404403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36646475 + ... + 36682325.

Almost surely, 2^{1314455404400} is an apocalyptic number.

1314455404400 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 1314455404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602513843264).

1314455404400 is an abundant number, since it is smaller than the sum of its proper divisors (1890572282128).

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

1314455404400 is a wasteful number, since it uses less digits than its factorization.

1314455404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37231 (or 37220 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 1314455404400 in words is "one trillion, three hundred fourteen billion, four hundred fifty-five million, four hundred four thousand, four hundred".