401334240 has 96 divisors (see below), whose sum is σ = 1295100576. Its totient is φ = 104407040.

The previous prime is 401334229. The next prime is 401334251. The reversal of 401334240 is 42433104.

It is an interprime number because it is at equal distance from previous prime (401334229) and next prime (401334251).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401334240² = 322138344392755200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 29876.

It is an arithmetic number, because the mean of its divisors is an integer number (13490631).

Almost surely, 2^401334240 is an apocalyptic number.

401334240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647550288).

401334240 is an abundant number, since it is smaller than the sum of its proper divisors (893766336).

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

401334240 is a wasteful number, since it uses less digits than its factorization.

401334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20452 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401334240 is about 20033.3282307259. The cubic root of 401334240 is about 737.6246209018.

Adding to 401334240 its reverse (42433104), we get a palindrome (443767344).

The spelling of 401334240 in words is "four hundred one million, three hundred thirty-four thousand, two hundred forty".