401260442310 has 384 divisors, whose sum is σ = 1362245713920. Its totient is φ = 79524384768.

The previous prime is 401260442309. The next prime is 401260442381. The reversal of 401260442310 is 13244062104.

It is a happy number.

401260442310 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 604 + 42 + 3 + 10 = 666.

It is a super-2 number, since 2×401260442310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 78383931 + ... + 78389049.

It is an arithmetic number, because the mean of its divisors is an integer number (3547514880).

Almost surely, 2^401260442310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401260442310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681122856960).

401260442310 is an abundant number, since it is smaller than the sum of its proper divisors (960985271610).

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

401260442310 is a wasteful number, since it uses less digits than its factorization.

401260442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 401260442310 in words is "four hundred one billion, two hundred sixty million, four hundred forty-two thousand, three hundred ten".