415101040 has 20 divisors (see below), whose sum is σ = 965110104. Its totient is φ = 166040384.

The previous prime is 415101031. The next prime is 415101047. The reversal of 415101040 is 40101514.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415101047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2594302 + ... + 2594461.

Almost surely, 2^415101040 is an apocalyptic number.

415101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415101040 is an abundant number, since it is smaller than the sum of its proper divisors (550009064).

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

415101040 is a wasteful number, since it uses less digits than its factorization.

415101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188776 (or 5188770 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 415101040 is about 20374.0285657992. The cubic root of 415101040 is about 745.9641226963.

Adding to 415101040 its reverse (40101514), we get a palindrome (455202554).

The spelling of 415101040 in words is "four hundred fifteen million, one hundred one thousand, forty".