4396916736000 has 1088 divisors, whose sum is σ = 16501608215040. Its totient is φ = 1155111321600.

The previous prime is 4396916735879. The next prime is 4396916736001. The reversal of 4396916736000 is 6376196934.

4396916736000 is a `hidden beast` number, since 439 + 6 + 91 + 67 + 3 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4396916736001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22781951904 + ... + 22781952096.

Almost surely, 2^{4396916736000} is an apocalyptic number.

4396916736000 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 4396916736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250804107520).

4396916736000 is an abundant number, since it is smaller than the sum of its proper divisors (12104691479040).

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

4396916736000 is an equidigital number, since it uses as much as digits as its factorization.

4396916736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 4396916736000 in words is "four trillion, three hundred ninety-six billion, nine hundred sixteen million, seven hundred thirty-six thousand".