340081251408 has 150 divisors (see below), whose sum is σ = 1038826749114. Its totient is φ = 107393931648.

The previous prime is 340081251379. The next prime is 340081251421. The reversal of 340081251408 is 804152180043.

It can be written as a sum of positive squares in only one way, i.e., 328549068864 + 11532182544 = 573192^2 + 107388^2 .

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 104410 + ... + 831302.

Almost surely, 2^340081251408 is an apocalyptic number.

340081251408 is a gapful number since it is divisible by the number (38) 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 340081251408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519413374557).

340081251408 is an abundant number, since it is smaller than the sum of its proper divisors (698745497706).

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

340081251408 is a wasteful number, since it uses less digits than its factorization.

340081251408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726951 (or 726917 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 340081251408 in words is "three hundred forty billion, eighty-one million, two hundred fifty-one thousand, four hundred eight".