401512040 has 32 divisors (see below), whose sum is σ = 903993480. Its totient is φ = 160499712.

The previous prime is 401512021. The next prime is 401512061. The reversal of 401512040 is 40215104.

It can be written as a sum of positive squares in 4 ways, for example, as 312511684 + 89000356 = 17678^2 + 9434^2 .

It is a super-2 number, since 2×401512040² = 322423836529923200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94604 + ... + 98756.

Almost surely, 2^401512040 is an apocalyptic number.

401512040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401512040 is an abundant number, since it is smaller than the sum of its proper divisors (502481440).

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

401512040 is a wasteful number, since it uses less digits than its factorization.

401512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 401512040 is about 20037.7653444689. The cubic root of 401512040 is about 737.7335328609.

Adding to 401512040 its reverse (40215104), we get a palindrome (441727144).

The spelling of 401512040 in words is "four hundred one million, five hundred twelve thousand, forty".