334401233000 has 128 divisors (see below), whose sum is σ = 819733824000. Its totient is φ = 127512403200.

The previous prime is 334401232981. The next prime is 334401233003. The reversal of 334401233000 is 332104433.

It is a super-2 number, since 2×334401233000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334401233003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218019 + ... + 2363981.

It is an arithmetic number, because the mean of its divisors is an integer number (6404170500).

Almost surely, 2^334401233000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334401233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409866912000).

334401233000 is an abundant number, since it is smaller than the sum of its proper divisors (485332591000).

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

334401233000 is a wasteful number, since it uses less digits than its factorization.

334401233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146092 (or 146078 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 334401233000 its reverse (332104433), we get a palindrome (334733337433).

The spelling of 334401233000 in words is "three hundred thirty-four billion, four hundred one million, two hundred thirty-three thousand".