3401199705640 has 128 divisors (see below), whose sum is σ = 8848775560320. Its totient is φ = 1162823065600.

The previous prime is 3401199705611. The next prime is 3401199705643. The reversal of 3401199705640 is 465079911043.

It is not an unprimeable number, because it can be changed into a prime (3401199705643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6889875 + ... + 7367005.

It is an arithmetic number, because the mean of its divisors is an integer number (69131059065).

Almost surely, 2^{3401199705640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401199705640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424387780160).

3401199705640 is an abundant number, since it is smaller than the sum of its proper divisors (5447575854680).

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

3401199705640 is a wasteful number, since it uses less digits than its factorization.

3401199705640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478123 (or 478119 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 3401199705640 in words is "three trillion, four hundred one billion, one hundred ninety-nine million, seven hundred five thousand, six hundred forty".