1642045440 has 448 divisors, whose sum is σ = 6341400576. Its totient is φ = 354680832.

The previous prime is 1642045403. The next prime is 1642045501. The reversal of 1642045440 is 445402461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1642045398 and 1642045407.

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, 19783639 + ... + 19783721.

It is an arithmetic number, because the mean of its divisors is an integer number (14154912).

Almost surely, 2^1642045440 is an apocalyptic number.

1642045440 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 1642045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170700288).

1642045440 is an abundant number, since it is smaller than the sum of its proper divisors (4699355136).

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

1642045440 is an equidigital number, since it uses as much as digits as its factorization.

1642045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1642045440 is about 40522.1598634624. The cubic root of 1642045440 is about 1179.7637753696.

The spelling of 1642045440 in words is "one billion, six hundred forty-two million, forty-five thousand, four hundred forty".