415205551020 has 288 divisors, whose sum is σ = 1292074398720. Its totient is φ = 99531694080.

The previous prime is 415205551001. The next prime is 415205551037. The reversal of 415205551020 is 20155502514.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100556316 + ... + 100560444.

It is an arithmetic number, because the mean of its divisors is an integer number (4486369440).

Almost surely, 2^415205551020 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 415205551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646037199360).

415205551020 is an abundant number, since it is smaller than the sum of its proper divisors (876868847700).

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

415205551020 is a wasteful number, since it uses less digits than its factorization.

415205551020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 415205551020 in words is "four hundred fifteen billion, two hundred five million, five hundred fifty-one thousand, twenty".