4034355405344 has 24 divisors (see below), whose sum is σ = 8664695132688. Its totient is φ = 1833797911360.

The previous prime is 4034355405317. The next prime is 4034355405391. The reversal of 4034355405344 is 4435045534304.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4034355405295 and 4034355405304.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5730618122 + ... + 5730618825.

It is an arithmetic number, because the mean of its divisors is an integer number (361028963862).

Almost surely, 2^{4034355405344} is an apocalyptic number.

4034355405344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4034355405344 is an abundant number, since it is smaller than the sum of its proper divisors (4630339727344).

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

4034355405344 is a wasteful number, since it uses less digits than its factorization.

4034355405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11461236968 (or 11461236960 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 44.

The spelling of 4034355405344 in words is "four trillion, thirty-four billion, three hundred fifty-five million, four hundred five thousand, three hundred forty-four".