34414102140 has 96 divisors (see below), whose sum is σ = 105148592640. Its totient is φ = 8340499200.

The previous prime is 34414102139. The next prime is 34414102157. The reversal of 34414102140 is 4120141443.

It is a super-2 number, since 2×34414102140² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34414102140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4529745 + ... + 4537335.

It is an arithmetic number, because the mean of its divisors is an integer number (1095297840).

Almost surely, 2^34414102140 is an apocalyptic number.

34414102140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34414102140 is an abundant number, since it is smaller than the sum of its proper divisors (70734490500).

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

34414102140 is a wasteful number, since it uses less digits than its factorization.

34414102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34414102140 its reverse (4120141443), we get a palindrome (38534243583).

The spelling of 34414102140 in words is "thirty-four billion, four hundred fourteen million, one hundred two thousand, one hundred forty".