3414430140100 has 72 divisors (see below), whose sum is σ = 8469508416768. Its totient is φ = 1170423744000.

The previous prime is 3414430140091. The next prime is 3414430140109. The reversal of 3414430140100 is 10410344143.

It is an interprime number because it is at equal distance from previous prime (3414430140091) and next prime (3414430140109).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3414430140109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966700 + ... + 3953500.

It is an arithmetic number, because the mean of its divisors is an integer number (117632061344).

Almost surely, 2^{3414430140100} is an apocalyptic number.

It is an amenable number.

3414430140100 is an abundant number, since it is smaller than the sum of its proper divisors (5055078276668).

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

3414430140100 is a wasteful number, since it uses less digits than its factorization.

3414430140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991765 (or 991758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3414430140100 its reverse (10410344143), we get a palindrome (3424840484243).

The spelling of 3414430140100 in words is "three trillion, four hundred fourteen billion, four hundred thirty million, one hundred forty thousand, one hundred".