1913689440 has 288 divisors, whose sum is σ = 7089840576. Its totient is φ = 467251200.

The previous prime is 1913689411. The next prime is 1913689457. The reversal of 1913689440 is 449863191.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2826382 + ... + 2827058.

It is an arithmetic number, because the mean of its divisors is an integer number (24617502).

Almost surely, 2^1913689440 is an apocalyptic number.

1913689440 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 1913689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544920288).

1913689440 is an abundant number, since it is smaller than the sum of its proper divisors (5176151136).

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

1913689440 is a wasteful number, since it uses less digits than its factorization.

1913689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1913689440 is about 43745.7362493763. The cubic root of 1913689440 is about 1241.5298149450.

The spelling of 1913689440 in words is "one billion, nine hundred thirteen million, six hundred eighty-nine thousand, four hundred forty".