40214354101110 has 192 divisors, whose sum is σ = 126227717291520. Its totient is φ = 8677299363840.

The previous prime is 40214354101109. The next prime is 40214354101189. The reversal of 40214354101110 is 1110145341204.

It is a happy number.

40214354101110 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 4 + 3 + 541 + 0 + 1 + 110 = 666.

It is a super-2 number, since 2×40214354101110² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2548171 + ... + 9323190.

It is an arithmetic number, because the mean of its divisors is an integer number (657436027560).

Almost surely, 2^{40214354101110} is an apocalyptic number.

40214354101110 is an abundant number, since it is smaller than the sum of its proper divisors (86013363190410).

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

40214354101110 is a wasteful number, since it uses less digits than its factorization.

40214354101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871683 (or 11871680 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 40214354101110 its reverse (1110145341204), we get a palindrome (41324499442314).

The spelling of 40214354101110 in words is "forty trillion, two hundred fourteen billion, three hundred fifty-four million, one hundred one thousand, one hundred ten".