40411413102440 has 128 divisors (see below), whose sum is σ = 93555120528000. Its totient is φ = 15698746027008.

The previous prime is 40411413102391. The next prime is 40411413102443. The reversal of 40411413102440 is 4420131411404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40411413102443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853468579 + ... + 1853490381.

It is an arithmetic number, because the mean of its divisors is an integer number (730899379125).

Almost surely, 2^{40411413102440} is an apocalyptic number.

40411413102440 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 40411413102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46777560264000).

40411413102440 is an abundant number, since it is smaller than the sum of its proper divisors (53143707425560).

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

40411413102440 is a wasteful number, since it uses less digits than its factorization.

40411413102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24099 (or 24095 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 40411413102440 its reverse (4420131411404), we get a palindrome (44831544513844).

The spelling of 40411413102440 in words is "forty trillion, four hundred eleven billion, four hundred thirteen million, one hundred two thousand, four hundred forty".