6340405006401 has 16 divisors (see below), whose sum is σ = 8870714818560. Its totient is φ = 4020569339600.

The previous prime is 6340405006337. The next prime is 6340405006433. The reversal of 6340405006401 is 1046005040436.

It is a cyclic number.

It is not a de Polignac number, because 6340405006401 - 2⁶ = 6340405006337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6340405006471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256663425 + ... + 256688126.

It is an arithmetic number, because the mean of its divisors is an integer number (554419676160).

Almost surely, 2^{6340405006401} is an apocalyptic number.

It is an amenable number.

6340405006401 is a deficient number, since it is larger than the sum of its proper divisors (2530309812159).

6340405006401 is a wasteful number, since it uses less digits than its factorization.

6340405006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513351756.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 6340405006401 in words is "six trillion, three hundred forty billion, four hundred five million, six thousand, four hundred one".