40414202120 has 32 divisors (see below), whose sum is σ = 91312444800. Its totient is φ = 16098038208.

The previous prime is 40414202113. The next prime is 40414202183. The reversal of 40414202120 is 2120241404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40414202092 and 40414202101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2104154 + ... + 2123273.

It is an arithmetic number, because the mean of its divisors is an integer number (2853513900).

Almost surely, 2^40414202120 is an apocalyptic number.

40414202120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414202120 is an abundant number, since it is smaller than the sum of its proper divisors (50898242680).

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

40414202120 is a wasteful number, since it uses less digits than its factorization.

40414202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227677 (or 4227673 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40414202120 its reverse (2120241404), we get a palindrome (42534443524).

The spelling of 40414202120 in words is "forty billion, four hundred fourteen million, two hundred two thousand, one hundred twenty".