401433240 has 128 divisors (see below), whose sum is σ = 1373319360. Its totient is φ = 92995584.

The previous prime is 401433211. The next prime is 401433269. The reversal of 401433240 is 42334104.

It is an interprime number because it is at equal distance from previous prime (401433211) and next prime (401433269).

It is a super-2 number, since 2×401433240² = 322297292353795200, 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 31 ways as a sum of consecutive naturals, for example, 18952 + ... + 34088.

Almost surely, 2^401433240 is an apocalyptic number.

401433240 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 401433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686659680).

401433240 is an abundant number, since it is smaller than the sum of its proper divisors (971886120).

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

401433240 is a wasteful number, since it uses less digits than its factorization.

401433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181 (or 15177 counting only the distinct ones).

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

The square root of 401433240 is about 20035.7989608600. The cubic root of 401433240 is about 737.6852676367.

Adding to 401433240 its reverse (42334104), we get a palindrome (443767344).

The spelling of 401433240 in words is "four hundred one million, four hundred thirty-three thousand, two hundred forty".