340760226240 has 448 divisors, whose sum is σ = 1382994155520. Its totient is φ = 77370163200.

The previous prime is 340760226203. The next prime is 340760226259. The reversal of 340760226240 is 42622067043.

340760226240 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 6 + 0 + 22 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×340760226240² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 340760226195 and 340760226204.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9113824 + ... + 9151136.

Almost surely, 2^340760226240 is an apocalyptic number.

340760226240 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 340760226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691497077760).

340760226240 is an abundant number, since it is smaller than the sum of its proper divisors (1042233929280).

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

340760226240 is a wasteful number, since it uses less digits than its factorization.

340760226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37497 (or 37481 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 340760226240 in words is "three hundred forty billion, seven hundred sixty million, two hundred twenty-six thousand, two hundred forty".