340206401007 has 48 divisors (see below), whose sum is σ = 564518373120. Its totient is φ = 195257433600.

The previous prime is 340206400967. The next prime is 340206401011. The reversal of 340206401007 is 700104602043.

340206401007 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 0 + 640 + 10 + 0 + 7 = 666.

It is not a de Polignac number, because 340206401007 - 2⁶ = 340206400943 is a prime.

It is a super-2 number, since 2×340206401007² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340206401027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4963782 + ... + 5031852.

It is an arithmetic number, because the mean of its divisors is an integer number (11760799440).

Almost surely, 2^340206401007 is an apocalyptic number.

340206401007 is a deficient number, since it is larger than the sum of its proper divisors (224311972113).

340206401007 is a wasteful number, since it uses less digits than its factorization.

340206401007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70764 (or 70761 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 340206401007 in words is "three hundred forty billion, two hundred six million, four hundred one thousand, seven".