40330414100224 has 72 divisors (see below), whose sum is σ = 84743749440000. Its totient is φ = 19103103323136.

The previous prime is 40330414100209. The next prime is 40330414100237. The reversal of 40330414100224 is 42200141403304.

It is a junction number, because it is equal to n+sod(n) for n = 40330414100192 and 40330414100201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129708657 + ... + 130019215.

It is an arithmetic number, because the mean of its divisors is an integer number (1176996520000).

Almost surely, 2^{40330414100224} is an apocalyptic number.

It is an amenable number.

40330414100224 is an abundant number, since it is smaller than the sum of its proper divisors (44413335339776).

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

40330414100224 is a wasteful number, since it uses less digits than its factorization.

40330414100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337293 (or 337279 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40330414100224 its reverse (42200141403304), we get a palindrome (82530555503528).

The spelling of 40330414100224 in words is "forty trillion, three hundred thirty billion, four hundred fourteen million, one hundred thousand, two hundred twenty-four".