40332123442440 has 128 divisors (see below), whose sum is σ = 134864514864000. Its totient is φ = 10721304647424.

The previous prime is 40332123442433. The next prime is 40332123442447. The reversal of 40332123442440 is 4424432123304.

40332123442440 is a `hidden beast` number, since 40 + 3 + 3 + 212 + 344 + 24 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40332123442433) and next prime (40332123442447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40332123442395 and 40332123442404.

It is not an unprimeable number, because it can be changed into a prime (40332123442447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58560730 + ... + 59245449.

It is an arithmetic number, because the mean of its divisors is an integer number (1053629022375).

Almost surely, 2^{40332123442440} is an apocalyptic number.

40332123442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40332123442440 is an abundant number, since it is smaller than the sum of its proper divisors (94532391421560).

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

40332123442440 is a wasteful number, since it uses less digits than its factorization.

40332123442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117806516 (or 117806506 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 40332123442440 its reverse (4424432123304), we get a palindrome (44756555565744).

The spelling of 40332123442440 in words is "forty trillion, three hundred thirty-two billion, one hundred twenty-three million, four hundred forty-two thousand, four hundred forty".