340650082967040 has 3840 divisors, whose sum is σ = 1599525367824384. Its totient is φ = 67373354188800.

The previous prime is 340650082967023. The next prime is 340650082967053. The reversal of 340650082967040 is 40769280056043.

340650082967040 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 500 + 8 + 2 + 96 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 265510586239 + ... + 265510587521.

Almost surely, 2^{340650082967040} is an apocalyptic number.

340650082967040 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 340650082967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799762683912192).

340650082967040 is an abundant number, since it is smaller than the sum of its proper divisors (1258875284857344).

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

340650082967040 is a wasteful number, since it uses less digits than its factorization.

340650082967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 340650082967040 in words is "three hundred forty trillion, six hundred fifty billion, eighty-two million, nine hundred sixty-seven thousand, forty".