401244040 has 64 divisors (see below), whose sum is σ = 935550000. Its totient is φ = 154767360.

The previous prime is 401244023. The next prime is 401244097. The reversal of 401244040 is 40442104.

401244040 = 5165² + 5166² + ... + 5179².

It can be written as a sum of positive squares in 8 ways, for example, as 1004004 + 400240036 = 1002^2 + 20006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 401243999 and 401244017.

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, 144586 + ... + 147334.

Almost surely, 2^401244040 is an apocalyptic number.

401244040 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 401244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467775000).

401244040 is an abundant number, since it is smaller than the sum of its proper divisors (534305960).

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

401244040 is a wasteful number, since it uses less digits than its factorization.

401244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 401244040 is about 20031.0768557260. The cubic root of 401244040 is about 737.5693563041.

Adding to 401244040 its reverse (40442104), we get a palindrome (441686144).

The spelling of 401244040 in words is "four hundred one million, two hundred forty-four thousand, forty".