34111310123400 has 48 divisors (see below), whose sum is σ = 105745061384400. Its totient is φ = 9096349366080.

The previous prime is 34111310123369. The next prime is 34111310123417. The reversal of 34111310123400 is 432101311143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28426091170 + ... + 28426092369.

It is an arithmetic number, because the mean of its divisors is an integer number (2203022112175).

Almost surely, 2^{34111310123400} is an apocalyptic number.

34111310123400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34111310123400 is an abundant number, since it is smaller than the sum of its proper divisors (71633751261000).

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

34111310123400 is a wasteful number, since it uses less digits than its factorization.

34111310123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56852183558 (or 56852183549 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 34111310123400 its reverse (432101311143), we get a palindrome (34543411434543).

The spelling of 34111310123400 in words is "thirty-four trillion, one hundred eleven billion, three hundred ten million, one hundred twenty-three thousand, four hundred".