1642191040 has 112 divisors (see below), whose sum is σ = 4578364224. Its totient is φ = 549273600.

The previous prime is 1642190989. The next prime is 1642191049. The reversal of 1642191040 is 401912461.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1642191049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82900 + ... + 100780.

It is an arithmetic number, because the mean of its divisors is an integer number (40878252).

Almost surely, 2^1642191040 is an apocalyptic number.

1642191040 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 1642191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289182112).

1642191040 is an abundant number, since it is smaller than the sum of its proper divisors (2936173184).

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

1642191040 is a wasteful number, since it uses less digits than its factorization.

1642191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 17936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1642191040 is about 40523.9563715094. The cubic root of 1642191040 is about 1179.7986441831.

The spelling of 1642191040 in words is "one billion, six hundred forty-two million, one hundred ninety-one thousand, forty".