340935793511040 has 7680 divisors, whose sum is σ = 1711683194457600. Its totient is φ = 63516322824192.

The previous prime is 340935793511017. The next prime is 340935793511063. The reversal of 340935793511040 is 40115397539043.

340935793511040 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 3 + 579 + 3 + 51 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340935793511017) and next prime (340935793511063).

It is a super-3 number, since 3×340935793511040³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 959 ways as a sum of consecutive naturals, for example, 3310056247629 + ... + 3310056247731.

It is an arithmetic number, because the mean of its divisors is an integer number (222875415945).

Almost surely, 2^{340935793511040} is an apocalyptic number.

340935793511040 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 340935793511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855841597228800).

340935793511040 is an abundant number, since it is smaller than the sum of its proper divisors (1370747400946560).

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

340935793511040 is a wasteful number, since it uses less digits than its factorization.

340935793511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 340935793511040 in words is "three hundred forty trillion, nine hundred thirty-five billion, seven hundred ninety-three million, five hundred eleven thousand, forty".