340408256400 has 480 divisors, whose sum is σ = 1258274048640. Its totient is φ = 87340032000.

The previous prime is 340408256389. The next prime is 340408256413. The reversal of 340408256400 is 4652804043.

340408256400 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 8 + 2 + 5 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 32319135 + ... + 32329665.

It is an arithmetic number, because the mean of its divisors is an integer number (2621404268).

Almost surely, 2^340408256400 is an apocalyptic number.

340408256400 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 340408256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629137024320).

340408256400 is an abundant number, since it is smaller than the sum of its proper divisors (917865792240).

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

340408256400 is a wasteful number, since it uses less digits than its factorization.

340408256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 34040825 and 6400, that added together give a square (34047225 = 5835²).

The spelling of 340408256400 in words is "three hundred forty billion, four hundred eight million, two hundred fifty-six thousand, four hundred".