7401343478001 has 64 divisors (see below), whose sum is σ = 11357166643200. Its totient is φ = 4240219968000.

The previous prime is 7401343477967. The next prime is 7401343478041. The reversal of 7401343478001 is 1008743431047.

It is a happy number.

7401343478001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7401343478001 - 2²⁵ = 7401309923569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7401343478041) 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 63 ways as a sum of consecutive naturals, for example, 1383167476 + ... + 1383172826.

It is an arithmetic number, because the mean of its divisors is an integer number (177455728800).

Almost surely, 2^{7401343478001} is an apocalyptic number.

It is an amenable number.

7401343478001 is a deficient number, since it is larger than the sum of its proper divisors (3955823165199).

7401343478001 is a wasteful number, since it uses less digits than its factorization.

7401343478001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 7401343478001 in words is "seven trillion, four hundred one billion, three hundred forty-three million, four hundred seventy-eight thousand, one".