340463120400 has 1680 divisors, whose sum is σ = 1446993844800. Its totient is φ = 76187381760.

The previous prime is 340463120357. The next prime is 340463120453. The reversal of 340463120400 is 4021364043.

340463120400 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 631 + 20 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2088730719 + ... + 2088730881.

It is an arithmetic number, because the mean of its divisors is an integer number (861305860).

Almost surely, 2^340463120400 is an apocalyptic number.

340463120400 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 340463120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723496922400).

340463120400 is an abundant number, since it is smaller than the sum of its proper divisors (1106530724400).

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

340463120400 is a wasteful number, since it uses less digits than its factorization.

340463120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 340463120400 its reverse (4021364043), we get a palindrome (344484484443).

The spelling of 340463120400 in words is "three hundred forty billion, four hundred sixty-three million, one hundred twenty thousand, four hundred".