40202436120 has 384 divisors, whose sum is σ = 155353800960. Its totient is φ = 8228183040.

The previous prime is 40202436083. The next prime is 40202436121. The reversal of 40202436120 is 2163420204.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40202436121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4328922 + ... + 4338198.

It is an arithmetic number, because the mean of its divisors is an integer number (404567190).

Almost surely, 2^40202436120 is an apocalyptic number.

40202436120 is a gapful number since it is divisible by the number (40) 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 40202436120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77676900480).

40202436120 is an abundant number, since it is smaller than the sum of its proper divisors (115151364840).

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

40202436120 is a wasteful number, since it uses less digits than its factorization.

40202436120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9372 counting only the distinct ones).

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

Adding to 40202436120 its reverse (2163420204), we get a palindrome (42365856324).

The spelling of 40202436120 in words is "forty billion, two hundred two million, four hundred thirty-six thousand, one hundred twenty".