401302124313040 has 80 divisors (see below), whose sum is σ = 950425512624000. Its totient is φ = 157536716919296.

The previous prime is 401302124313011. The next prime is 401302124313047. The reversal of 401302124313040 is 40313421203104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401302124313040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401302124313047) 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, 68142367 + ... + 73796926.

It is an arithmetic number, because the mean of its divisors is an integer number (11880318907800).

Almost surely, 2^{401302124313040} is an apocalyptic number.

401302124313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401302124313040 is an abundant number, since it is smaller than the sum of its proper divisors (549123388310960).

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

401302124313040 is a wasteful number, since it uses less digits than its factorization.

401302124313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141939964 (or 141939958 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 401302124313040 its reverse (40313421203104), we get a palindrome (441615545516144).

The spelling of 401302124313040 in words is "four hundred one trillion, three hundred two billion, one hundred twenty-four million, three hundred thirteen thousand, forty".