40430403240040 has 256 divisors, whose sum is σ = 105890760864000. Its totient is φ = 13729936097280.

The previous prime is 40430403239951. The next prime is 40430403240041. The reversal of 40430403240040 is 4004230403404.

It is a junction number, because it is equal to n+sod(n) for n = 40430403239990 and 40430403240008.

It is not an unprimeable number, because it can be changed into a prime (40430403240041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2051357706 + ... + 2051377414.

It is an arithmetic number, because the mean of its divisors is an integer number (413635784625).

Almost surely, 2^{40430403240040} is an apocalyptic number.

40430403240040 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 40430403240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52945380432000).

40430403240040 is an abundant number, since it is smaller than the sum of its proper divisors (65460357623960).

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

40430403240040 is a wasteful number, since it uses less digits than its factorization.

40430403240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21860 (or 21856 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 40430403240040 its reverse (4004230403404), we get a palindrome (44434633643444).

The spelling of 40430403240040 in words is "forty trillion, four hundred thirty billion, four hundred three million, two hundred forty thousand, forty".