334200400464 has 120 divisors (see below), whose sum is σ = 1017019608960. Its totient is φ = 94277094912.

The previous prime is 334200400463. The next prime is 334200400477. The reversal of 334200400464 is 464004002433.

It is a super-2 number, since 2×334200400464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334200400463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713509 + ... + 1085124.

It is an arithmetic number, because the mean of its divisors is an integer number (8475163408).

Almost surely, 2^334200400464 is an apocalyptic number.

It is an amenable number.

334200400464 is an abundant number, since it is smaller than the sum of its proper divisors (682819208496).

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

334200400464 is a wasteful number, since it uses less digits than its factorization.

334200400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798737 (or 1798724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 334200400464 its reverse (464004002433), we get a palindrome (798204402897).

The spelling of 334200400464 in words is "three hundred thirty-four billion, two hundred million, four hundred thousand, four hundred sixty-four".