340143298983936 has 720 divisors, whose sum is σ = 1194044049198000. Its totient is φ = 96181681913856.

The previous prime is 340143298983923. The next prime is 340143298983973. The reversal of 340143298983936 is 639389892341043.

340143298983936 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 432 + 9 + 89 + 83 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 788249965 + ... + 788681363.

It is an arithmetic number, because the mean of its divisors is an integer number (1658394512775).

Almost surely, 2^{340143298983936} is an apocalyptic number.

340143298983936 is a gapful number since it is divisible by the number (36) 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 340143298983936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597022024599000).

340143298983936 is an abundant number, since it is smaller than the sum of its proper divisors (853900750214064).

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

340143298983936 is an equidigital number, since it uses as much as digits as its factorization.

340143298983936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431544 (or 431508 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 340143298983936 in words is "three hundred forty trillion, one hundred forty-three billion, two hundred ninety-eight million, nine hundred eighty-three thousand, nine hundred thirty-six".