401268589407 has 192 divisors, whose sum is σ = 761303162880. Its totient is φ = 198268342272.

The previous prime is 401268589331. The next prime is 401268589409. The reversal of 401268589407 is 704985862104.

It is a happy number.

401268589407 is a `hidden beast` number, since 4 + 0 + 12 + 6 + 8 + 589 + 40 + 7 = 666.

It is not a de Polignac number, because 401268589407 - 2⁷ = 401268589279 is a prime.

It is a super-2 number, since 2×401268589407² (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 (401268589409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71999473 + ... + 72005045.

It is an arithmetic number, because the mean of its divisors is an integer number (3965120640).

Almost surely, 2^401268589407 is an apocalyptic number.

401268589407 is a deficient number, since it is larger than the sum of its proper divisors (360034573473).

401268589407 is a wasteful number, since it uses less digits than its factorization.

401268589407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 401268589407 in words is "four hundred one billion, two hundred sixty-eight million, five hundred eighty-nine thousand, four hundred seven".