415134720000 has 2800 divisors, whose sum is σ = 2080794082752. Its totient is φ = 79626240000.

The previous prime is 415134719981. The next prime is 415134720001. The reversal of 415134720000 is 27431514.

415134720000 is a `hidden beast` number, since 415 + 1 + 3 + 47 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (415134720001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 31933439994 + ... + 31933440006.

Almost surely, 2^415134720000 is an apocalyptic number.

415134720000 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 415134720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040397041376).

415134720000 is an abundant number, since it is smaller than the sum of its proper divisors (1665659362752).

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

415134720000 is an equidigital number, since it uses as much as digits as its factorization.

415134720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 415134720000 in words is "four hundred fifteen billion, one hundred thirty-four million, seven hundred twenty thousand".