1913346109440 has 1248 divisors, whose sum is σ = 7374950983680. Its totient is φ = 470060236800.

The previous prime is 1913346109391. The next prime is 1913346109453. The reversal of 1913346109440 is 449016433191.

1913346109440 is a `hidden beast` number, since 19 + 13 + 3 + 4 + 610 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1913346109440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9067990935 + ... + 9067991145.

Almost surely, 2^{1913346109440} is an apocalyptic number.

1913346109440 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 1913346109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687475491840).

1913346109440 is an abundant number, since it is smaller than the sum of its proper divisors (5461604874240).

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

1913346109440 is a wasteful number, since it uses less digits than its factorization.

1913346109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1913346109440 in words is "one trillion, nine hundred thirteen billion, three hundred forty-six million, one hundred nine thousand, four hundred forty".