40114200000042 has 144 divisors (see below), whose sum is σ = 105407410885920. Its totient is φ = 10983439905984.

The previous prime is 40114200000041. The next prime is 40114200000089. The reversal of 40114200000042 is 24000000241104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40114199999970 and 40114200000024.

It is not an unprimeable number, because it can be changed into a prime (40114200000041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7968192 + ... + 11988347.

It is an arithmetic number, because the mean of its divisors is an integer number (731995908930).

Almost surely, 2^{40114200000042} is an apocalyptic number.

40114200000042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40114200000042 is an abundant number, since it is smaller than the sum of its proper divisors (65293210885878).

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

40114200000042 is a wasteful number, since it uses less digits than its factorization.

40114200000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19956657 (or 19956647 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40114200000042 its reverse (24000000241104), we get a palindrome (64114200241146).

The spelling of 40114200000042 in words is "forty trillion, one hundred fourteen billion, two hundred million, forty-two", and thus it is an aban number.