415145400400 has 60 divisors (see below), whose sum is σ = 999638688672. Its totient is φ = 165683240320.

The previous prime is 415145400353. The next prime is 415145400403. The reversal of 415145400400 is 4004541514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415145400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994204 + ... + 1348603.

Almost surely, 2^415145400400 is an apocalyptic number.

415145400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415145400400 is an abundant number, since it is smaller than the sum of its proper divisors (584493288272).

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

415145400400 is a wasteful number, since it uses less digits than its factorization.

415145400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343268 (or 2343257 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 415145400400 its reverse (4004541514), we get a palindrome (419149941914).

The spelling of 415145400400 in words is "four hundred fifteen billion, one hundred forty-five million, four hundred thousand, four hundred".