202432004140240 has 320 divisors, whose sum is σ = 551881757306880. Its totient is φ = 67605428736000.

The previous prime is 202432004140213. The next prime is 202432004140271. The reversal of 202432004140240 is 42041400234202.

202432004140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 202432004140199 and 202432004140208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54844756795 + ... + 54844760485.

It is an arithmetic number, because the mean of its divisors is an integer number (1724630491584).

Almost surely, 2^{202432004140240} is an apocalyptic number.

202432004140240 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 202432004140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275940878653440).

202432004140240 is an abundant number, since it is smaller than the sum of its proper divisors (349449753166640).

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

202432004140240 is a wasteful number, since it uses less digits than its factorization.

202432004140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 202432004140240 its reverse (42041400234202), we get a palindrome (244473404374442).

The spelling of 202432004140240 in words is "two hundred two trillion, four hundred thirty-two billion, four million, one hundred forty thousand, two hundred forty".