1913545440 has 144 divisors (see below), whose sum is σ = 6689447856. Its totient is φ = 497817600.

The previous prime is 1913545411. The next prime is 1913545453. The reversal of 1913545440 is 445453191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1913545395 and 1913545404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42835 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (46454499).

Almost surely, 2^1913545440 is an apocalyptic number.

1913545440 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 1913545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344723928).

1913545440 is an abundant number, since it is smaller than the sum of its proper divisors (4775902416).

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

1913545440 is a wasteful number, since it uses less digits than its factorization.

1913545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32473 (or 32462 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1913545440 is about 43744.0903437253. The cubic root of 1913545440 is about 1241.4986735671.

The spelling of 1913545440 in words is "one billion, nine hundred thirteen million, five hundred forty-five thousand, four hundred forty".