415959001920 has 2016 divisors, whose sum is σ = 1935061180416. Its totient is φ = 82637107200.

The previous prime is 415959001897. The next prime is 415959001921. The reversal of 415959001920 is 29100959514.

415959001920 is a `hidden beast` number, since 4 + 1 + 59 + 590 + 0 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415959001921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5011554199 + ... + 5011554281.

It is an arithmetic number, because the mean of its divisors is an integer number (959851776).

Almost surely, 2^415959001920 is an apocalyptic number.

415959001920 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 415959001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967530590208).

415959001920 is an abundant number, since it is smaller than the sum of its proper divisors (1519102178496).

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

415959001920 is an equidigital number, since it uses as much as digits as its factorization.

415959001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 415959001920 in words is "four hundred fifteen billion, nine hundred fifty-nine million, one thousand, nine hundred twenty".