401135040 has 168 divisors, whose sum is σ = 1424562048. Its totient is φ = 103495680.

The previous prime is 401135039. The next prime is 401135051. The reversal of 401135040 is 40531104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87034 + ... + 91526.

It is an arithmetic number, because the mean of its divisors is an integer number (8479536).

Almost surely, 2^401135040 is an apocalyptic number.

401135040 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 401135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712281024).

401135040 is an abundant number, since it is smaller than the sum of its proper divisors (1023427008).

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

401135040 is a wasteful number, since it uses less digits than its factorization.

401135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 401135040 is about 20028.3558985754. The cubic root of 401135040 is about 737.5025620901.

Adding to 401135040 its reverse (40531104), we get a palindrome (441666144).

The spelling of 401135040 in words is "four hundred one million, one hundred thirty-five thousand, forty".