4114011221034 has 128 divisors (see below), whose sum is σ = 9773809532928. Its totient is φ = 1138054095360.

The previous prime is 4114011221027. The next prime is 4114011221041. The reversal of 4114011221034 is 4301221104114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4114011221027) and next prime (4114011221041).

It is a junction number, because it is equal to n+sod(n) for n = 4114011220995 and 4114011221013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34046047 + ... + 34166669.

It is an arithmetic number, because the mean of its divisors is an integer number (76357886976).

Almost surely, 2^{4114011221034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114011221034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886904766464).

4114011221034 is an abundant number, since it is smaller than the sum of its proper divisors (5659798311894).

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

4114011221034 is a wasteful number, since it uses less digits than its factorization.

4114011221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121092.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4114011221034 its reverse (4301221104114), we get a palindrome (8415232325148).

The spelling of 4114011221034 in words is "four trillion, one hundred fourteen billion, eleven million, two hundred twenty-one thousand, thirty-four".