34305442201140 has 96 divisors (see below), whose sum is σ = 104860967468544. Its totient is φ = 8310642668160.

The previous prime is 34305442201123. The next prime is 34305442201157. The reversal of 34305442201140 is 4110224450343.

It is an interprime number because it is at equal distance from previous prime (34305442201123) and next prime (34305442201157).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 17270494 + ... + 19154133.

It is an arithmetic number, because the mean of its divisors is an integer number (1092301744464).

Almost surely, 2^{34305442201140} is an apocalyptic number.

34305442201140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34305442201140 is an abundant number, since it is smaller than the sum of its proper divisors (70555525267404).

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

34305442201140 is a wasteful number, since it uses less digits than its factorization.

34305442201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36426077 (or 36426075 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 34305442201140 its reverse (4110224450343), we get a palindrome (38415666651483).

The spelling of 34305442201140 in words is "thirty-four trillion, three hundred five billion, four hundred forty-two million, two hundred one thousand, one hundred forty".