642143040 has 672 divisors, whose sum is σ = 2776996224. Its totient is φ = 123863040.

The previous prime is 642143017. The next prime is 642143069. The reversal of 642143040 is 40341246.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 642143040.

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 95 ways as a sum of consecutive naturals, for example, 8796444 + ... + 8796516.

Almost surely, 2^642143040 is an apocalyptic number.

642143040 is a gapful number since it is divisible by the number (60) 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 642143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388498112).

642143040 is an abundant number, since it is smaller than the sum of its proper divisors (2134853184).

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

642143040 is a wasteful number, since it uses less digits than its factorization.

642143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 642143040 is about 25340.5414306798. The cubic root of 642143040 is about 862.7346876581.

Adding to 642143040 its reverse (40341246), we get a palindrome (682484286).

The spelling of 642143040 in words is "six hundred forty-two million, one hundred forty-three thousand, forty".