340401563541600 has 1152 divisors, whose sum is σ = 1316400617968128. Its totient is φ = 75467273011200.

The previous prime is 340401563541577. The next prime is 340401563541629. The reversal of 340401563541600 is 6145365104043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3724545504 + ... + 3724636896.

It is an arithmetic number, because the mean of its divisors is an integer number (1142708869764).

Almost surely, 2^{340401563541600} is an apocalyptic number.

340401563541600 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 340401563541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658200308984064).

340401563541600 is an abundant number, since it is smaller than the sum of its proper divisors (975999054426528).

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

340401563541600 is a wasteful number, since it uses less digits than its factorization.

340401563541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91680 (or 91667 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 340401563541600 in words is "three hundred forty trillion, four hundred one billion, five hundred sixty-three million, five hundred forty-one thousand, six hundred".