40233044242040 has 128 divisors (see below), whose sum is σ = 100653126336000. Its totient is φ = 14373132687360.

The previous prime is 40233044242021. The next prime is 40233044242051. The reversal of 40233044242040 is 4024244033204.

It is a junction number, because it is equal to n+sod(n) for n = 40233044241988 and 40233044242006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79266986 + ... + 79772934.

It is an arithmetic number, because the mean of its divisors is an integer number (786352549500).

Almost surely, 2^{40233044242040} is an apocalyptic number.

40233044242040 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 40233044242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50326563168000).

40233044242040 is an abundant number, since it is smaller than the sum of its proper divisors (60420082093960).

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

40233044242040 is a wasteful number, since it uses less digits than its factorization.

40233044242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510937 (or 510933 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 40233044242040 its reverse (4024244033204), we get a palindrome (44257288275244).

The spelling of 40233044242040 in words is "forty trillion, two hundred thirty-three billion, forty-four million, two hundred forty-two thousand, forty".