202142423040 has 192 divisors, whose sum is σ = 654497625600. Its totient is φ = 53254520832.

The previous prime is 202142423033. The next prime is 202142423159. The reversal of 202142423040 is 40324241202.

It is a tau number, because it is divible by the number of its divisors (192).

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 202142423040.

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 15 ways as a sum of consecutive naturals, for example, 2510121 + ... + 2589399.

It is an arithmetic number, because the mean of its divisors is an integer number (3408841800).

Almost surely, 2^202142423040 is an apocalyptic number.

202142423040 is a gapful number since it is divisible by the number (20) 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 202142423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327248812800).

202142423040 is an abundant number, since it is smaller than the sum of its proper divisors (452355202560).

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

202142423040 is an equidigital number, since it uses as much as digits as its factorization.

202142423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79392 (or 79372 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202142423040 its reverse (40324241202), we get a palindrome (242466664242).

The spelling of 202142423040 in words is "two hundred two billion, one hundred forty-two million, four hundred twenty-three thousand, forty".