415001040 has 80 divisors (see below), whose sum is σ = 1354228800. Its totient is φ = 104841216.

The previous prime is 415001033. The next prime is 415001051. The reversal of 415001040 is 40100514.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 40945 + ... + 50064.

It is an arithmetic number, because the mean of its divisors is an integer number (16927860).

Almost surely, 2^415001040 is an apocalyptic number.

415001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415001040 is an abundant number, since it is smaller than the sum of its proper divisors (939227760).

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

415001040 is a wasteful number, since it uses less digits than its factorization.

415001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91044 (or 91038 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 415001040 is about 20371.5743132434. The cubic root of 415001040 is about 745.9042156728.

Adding to 415001040 its reverse (40100514), we get a palindrome (455101554).

The spelling of 415001040 in words is "four hundred fifteen million, one thousand, forty".