40414102113240 has 384 divisors, whose sum is σ = 141654533529600. Its totient is φ = 9959197501440.

The previous prime is 40414102113227. The next prime is 40414102113299. The reversal of 40414102113240 is 4231120141404.

40414102113240 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 410 + 2 + 1 + 1 + 3 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3338071267 + ... + 3338083373.

It is an arithmetic number, because the mean of its divisors is an integer number (368892014400).

Almost surely, 2^{40414102113240} is an apocalyptic number.

40414102113240 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 40414102113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70827266764800).

40414102113240 is an abundant number, since it is smaller than the sum of its proper divisors (101240431416360).

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

40414102113240 is a wasteful number, since it uses less digits than its factorization.

40414102113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24087 (or 24080 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40414102113240 its reverse (4231120141404), we get a palindrome (44645222254644).

The spelling of 40414102113240 in words is "forty trillion, four hundred fourteen billion, one hundred two million, one hundred thirteen thousand, two hundred forty".