1642031040 has 336 divisors, whose sum is σ = 5856732000. Its totient is φ = 389136384.

The previous prime is 1642030997. The next prime is 1642031063. The reversal of 1642031040 is 401302461.

It is a junction number, because it is equal to n+sod(n) for n = 1642030998 and 1642031016.

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 47 ways as a sum of consecutive naturals, for example, 4704786 + ... + 4705134.

It is an arithmetic number, because the mean of its divisors is an integer number (17430750).

Almost surely, 2^1642031040 is an apocalyptic number.

1642031040 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 1642031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928366000).

1642031040 is an abundant number, since it is smaller than the sum of its proper divisors (4214700960).

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

1642031040 is a wasteful number, since it uses less digits than its factorization.

1642031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1642031040 is about 40521.9821825142. The cubic root of 1642031040 is about 1179.7603266936.

The spelling of 1642031040 in words is "one billion, six hundred forty-two million, thirty-one thousand, forty".