340132504320 has 1512 divisors, whose sum is σ = 1462409814096. Its totient is φ = 75497619456.

The previous prime is 340132504289. The next prime is 340132504331. The reversal of 340132504320 is 23405231043.

340132504320 is a `hidden beast` number, since 3 + 4 + 0 + 132 + 504 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1966083754 + ... + 1966083926.

It is an arithmetic number, because the mean of its divisors is an integer number (967202258).

Almost surely, 2^340132504320 is an apocalyptic number.

340132504320 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 340132504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731204907048).

340132504320 is an abundant number, since it is smaller than the sum of its proper divisors (1122277309776).

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

340132504320 is an equidigital number, since it uses as much as digits as its factorization.

340132504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 340132504320 its reverse (23405231043), we get a palindrome (363537735363).

The spelling of 340132504320 in words is "three hundred forty billion, one hundred thirty-two million, five hundred four thousand, three hundred twenty".