415825920000 has 800 divisors, whose sum is σ = 1572359184000. Its totient is φ = 108527616000.

The previous prime is 415825919989. The next prime is 415825920007. The reversal of 415825920000 is 29528514.

415825920000 is a `hidden beast` number, since 4 + 1 + 582 + 59 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×415825920000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (415825920007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8847359977 + ... + 8847360023.

It is an arithmetic number, because the mean of its divisors is an integer number (1965448980).

Almost surely, 2^415825920000 is an apocalyptic number.

415825920000 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 415825920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786179592000).

415825920000 is an abundant number, since it is smaller than the sum of its proper divisors (1156533264000).

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

415825920000 is an frugal number, since it uses more digits than its factorization.

415825920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 415825920000 in words is "four hundred fifteen billion, eight hundred twenty-five million, nine hundred twenty thousand".