412001040 has 80 divisors (see below), whose sum is σ = 1393321536. Its totient is φ = 99878400.

The previous prime is 412001033. The next prime is 412001041. The reversal of 412001040 is 40100214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×412001040² = 339489713922163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (412001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75391 + ... + 80670.

Almost surely, 2^412001040 is an apocalyptic number.

412001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412001040 is an abundant number, since it is smaller than the sum of its proper divisors (981320496).

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

412001040 is a wasteful number, since it uses less digits than its factorization.

412001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156088 (or 156082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 412001040 is about 20297.8087487295. The cubic root of 412001040 is about 744.1025121783.

Adding to 412001040 its reverse (40100214), we get a palindrome (452101254).

The spelling of 412001040 in words is "four hundred twelve million, one thousand, forty".