415583020032 has 352 divisors, whose sum is σ = 1209885081600. Its totient is φ = 126471905280.

The previous prime is 415583020031. The next prime is 415583020079. The reversal of 415583020032 is 230020385514.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 415583019975 and 415583020002.

It is not an unprimeable number, because it can be changed into a prime (415583020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738840969 + ... + 1738841207.

Almost surely, 2^415583020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415583020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604942540800).

415583020032 is an abundant number, since it is smaller than the sum of its proper divisors (794302061568).

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

415583020032 is an equidigital number, since it uses as much as digits as its factorization.

415583020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 415583020032 in words is "four hundred fifteen billion, five hundred eighty-three million, twenty thousand, thirty-two".