9415958400000 has 792 divisors, whose sum is σ = 35244845279280. Its totient is φ = 2510714880000.

The previous prime is 9415958399989. The next prime is 9415958400007. The reversal of 9415958400000 is 48595149.

9415958400000 is a `hidden beast` number, since 94 + 159 + 5 + 8 + 400 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9415958400007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 777593946 + ... + 777606054.

Almost surely, 2^{9415958400000} is an apocalyptic number.

9415958400000 is a gapful number since it is divisible by the number (90) 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 9415958400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622422639640).

9415958400000 is an abundant number, since it is smaller than the sum of its proper divisors (25828886879280).

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

9415958400000 is an frugal number, since it uses more digits than its factorization.

9415958400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 9415958400000 in words is "nine trillion, four hundred fifteen billion, nine hundred fifty-eight million, four hundred thousand".