401337342 has 144 divisors (see below), whose sum is σ = 1105453440. Its totient is φ = 108510192.

The previous prime is 401337329. The next prime is 401337347. The reversal of 401337342 is 243733104.

It is a super-2 number, since 2×401337342² = 322143324167249928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401337347) 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 71 ways as a sum of consecutive naturals, for example, 452023 + ... + 452909.

It is an arithmetic number, because the mean of its divisors is an integer number (7676760).

Almost surely, 2^401337342 is an apocalyptic number.

401337342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401337342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552726720).

401337342 is an abundant number, since it is smaller than the sum of its proper divisors (704116098).

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

401337342 is a wasteful number, since it uses less digits than its factorization.

401337342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 401337342 is about 20033.4056515611. The cubic root of 401337342 is about 737.6265213175.

The spelling of 401337342 in words is "four hundred one million, three hundred thirty-seven thousand, three hundred forty-two".