340143755468832 has 1152 divisors, whose sum is σ = 1224541149511680. Its totient is φ = 90827900190720.

The previous prime is 340143755468831. The next prime is 340143755468873. The reversal of 340143755468832 is 238864557341043.

340143755468832 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 3 + 7 + 5 + 546 + 8 + 83 + 2 = 666.

It is a super-3 number, since 3×340143755468832³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 340143755468832.

It is not an unprimeable number, because it can be changed into a prime (340143755468831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6457622848 + ... + 6457675520.

It is an arithmetic number, because the mean of its divisors is an integer number (1062969747840).

Almost surely, 2^{340143755468832} is an apocalyptic number.

340143755468832 is a gapful number since it is divisible by the number (32) 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 340143755468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612270574755840).

340143755468832 is an abundant number, since it is smaller than the sum of its proper divisors (884397394042848).

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

340143755468832 is a wasteful number, since it uses less digits than its factorization.

340143755468832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52868 (or 52848 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 340143755468832 in words is "three hundred forty trillion, one hundred forty-three billion, seven hundred fifty-five million, four hundred sixty-eight thousand, eight hundred thirty-two".