1314454091440 has 80 divisors (see below), whose sum is σ = 3492839568960. Its totient is φ = 450650972160.

The previous prime is 1314454091417. The next prime is 1314454091479. The reversal of 1314454091440 is 441904544131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1314454091440³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1314454091393 and 1314454091402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22039260 + ... + 22098820.

It is an arithmetic number, because the mean of its divisors is an integer number (43660494612).

Almost surely, 2^{1314454091440} is an apocalyptic number.

1314454091440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314454091440 is an abundant number, since it is smaller than the sum of its proper divisors (2178385477520).

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

1314454091440 is a wasteful number, since it uses less digits than its factorization.

1314454091440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98990 (or 98984 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 1314454091440 in words is "one trillion, three hundred fourteen billion, four hundred fifty-four million, ninety-one thousand, four hundred forty".