340009682927040 has 2688 divisors, whose sum is σ = 1501167103303680. Its totient is φ = 72046132494336.

The previous prime is 340009682927009. The next prime is 340009682927069. The reversal of 340009682927040 is 40729286900043.

340009682927040 is a `hidden beast` number, since 3 + 400 + 0 + 9 + 6 + 82 + 92 + 70 + 4 + 0 = 666.

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, 99797381017 + ... + 99797384423.

Almost surely, 2^{340009682927040} is an apocalyptic number.

340009682927040 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 340009682927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750583551651840).

340009682927040 is an abundant number, since it is smaller than the sum of its proper divisors (1161157420376640).

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

340009682927040 is a wasteful number, since it uses less digits than its factorization.

340009682927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 340009682927040 in words is "three hundred forty trillion, nine billion, six hundred eighty-two million, nine hundred twenty-seven thousand, forty".