4152360960000 has 810 divisors, whose sum is σ = 16352550986772. Its totient is φ = 1006632960000.

The previous prime is 4152360959987. The next prime is 4152360960001. The reversal of 4152360960000 is 690632514.

It is a happy number.

4152360960000 is a `hidden beast` number, since 4 + 15 + 2 + 36 + 0 + 9 + 600 + 0 + 0 = 666.

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 (4152360960001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 377487359995 + ... + 377487360005.

Almost surely, 2^{4152360960000} is an apocalyptic number.

4152360960000 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 4152360960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176275493386).

4152360960000 is an abundant number, since it is smaller than the sum of its proper divisors (12200190026772).

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

4152360960000 is an frugal number, since it uses more digits than its factorization.

4152360960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 4152360960000 in words is "four trillion, one hundred fifty-two billion, three hundred sixty million, nine hundred sixty thousand".