334132001440 has 192 divisors, whose sum is σ = 813430937088. Its totient is φ = 129639628800.

The previous prime is 334132001381. The next prime is 334132001449. The reversal of 334132001440 is 44100231433.

It is a super-2 number, since 2×334132001440² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334132001449) 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, 599877642 + ... + 599878198.

It is an arithmetic number, because the mean of its divisors is an integer number (4236619464).

Almost surely, 2^334132001440 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 334132001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406715468544).

334132001440 is an abundant number, since it is smaller than the sum of its proper divisors (479298935648).

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

334132001440 is a wasteful number, since it uses less digits than its factorization.

334132001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 334132001440 its reverse (44100231433), we get a palindrome (378232232873).

The spelling of 334132001440 in words is "three hundred thirty-four billion, one hundred thirty-two million, one thousand, four hundred forty".