340132452000 has 576 divisors, whose sum is σ = 1289347113600. Its totient is φ = 78110208000.

The previous prime is 340132451977. The next prime is 340132452043. The reversal of 340132452000 is 254231043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27581836 + ... + 27594164.

It is an arithmetic number, because the mean of its divisors is an integer number (2238449850).

Almost surely, 2^340132452000 is an apocalyptic number.

340132452000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340132452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644673556800).

340132452000 is an abundant number, since it is smaller than the sum of its proper divisors (949214661600).

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

340132452000 is a wasteful number, since it uses less digits than its factorization.

340132452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 340132452000 its reverse (254231043), we get a palindrome (340386683043).

The spelling of 340132452000 in words is "three hundred forty billion, one hundred thirty-two million, four hundred fifty-two thousand".