1314414020040 has 256 divisors, whose sum is σ = 4347236874240. Its totient is φ = 315289344000.

The previous prime is 1314414020033. The next prime is 1314414020053. The reversal of 1314414020040 is 400204144131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56229555 + ... + 56252925.

It is an arithmetic number, because the mean of its divisors is an integer number (16981394040).

Almost surely, 2^{1314414020040} is an apocalyptic number.

1314414020040 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 1314414020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173618437120).

1314414020040 is an abundant number, since it is smaller than the sum of its proper divisors (3032822854200).

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

1314414020040 is a wasteful number, since it uses less digits than its factorization.

1314414020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23844 (or 23840 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1314414020040 its reverse (400204144131), we get a palindrome (1714618164171).

The spelling of 1314414020040 in words is "one trillion, three hundred fourteen billion, four hundred fourteen million, twenty thousand, forty".