1314424564640 has 192 divisors, whose sum is σ = 3425532042240. Its totient is φ = 472642560000.

The previous prime is 1314424564639. The next prime is 1314424564711. The reversal of 1314424564640 is 464654244131.

It is a happy number.

It is a super-2 number, since 2×1314424564640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1314424564591 and 1314424564600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99942065 + ... + 99955215.

It is an arithmetic number, because the mean of its divisors is an integer number (17841312720).

Almost surely, 2^{1314424564640} is an apocalyptic number.

1314424564640 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 1314424564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712766021120).

1314424564640 is an abundant number, since it is smaller than the sum of its proper divisors (2111107477600).

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

1314424564640 is a wasteful number, since it uses less digits than its factorization.

1314424564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 1314424564640 in words is "one trillion, three hundred fourteen billion, four hundred twenty-four million, five hundred sixty-four thousand, six hundred forty".