334456540000 has 240 divisors, whose sum is σ = 899918933760. Its totient is φ = 121308480000.

The previous prime is 334456539983. The next prime is 334456540007. The reversal of 334456540000 is 45654433.

It is a super-2 number, since 2×334456540000² (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 (334456540007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96578269 + ... + 96581731.

It is an arithmetic number, because the mean of its divisors is an integer number (3749662224).

Almost surely, 2^334456540000 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 334456540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449959466880).

334456540000 is an abundant number, since it is smaller than the sum of its proper divisors (565462393760).

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

334456540000 is a wasteful number, since it uses less digits than its factorization.

334456540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 334456540000 in words is "three hundred thirty-four billion, four hundred fifty-six million, five hundred forty thousand".