415330112640 has 128 divisors (see below), whose sum is σ = 1326726892800. Its totient is φ = 110515249152.

The previous prime is 415330112573. The next prime is 415330112641. The reversal of 415330112640 is 46211033514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 415330112598 and 415330112607.

It is not an unprimeable number, because it can be changed into a prime (415330112641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655356 + ... + 1122564.

It is an arithmetic number, because the mean of its divisors is an integer number (10365053850).

Almost surely, 2^415330112640 is an apocalyptic number.

415330112640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415330112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663363446400).

415330112640 is an abundant number, since it is smaller than the sum of its proper divisors (911396780160).

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

415330112640 is a wasteful number, since it uses less digits than its factorization.

415330112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467694 (or 467682 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

It can be divided in two parts, 4153301 and 12640, that added together give a triangular number (4165941 = T₂₈₈₆).

The spelling of 415330112640 in words is "four hundred fifteen billion, three hundred thirty million, one hundred twelve thousand, six hundred forty".