4964198400000 has 2520 divisors, whose sum is σ = 22382524301760. Its totient is φ = 1074954240000.

The previous prime is 4964198399987. The next prime is 4964198400053. The reversal of 4964198400000 is 48914694.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 261273599991 + ... + 261273600009.

It is an arithmetic number, because the mean of its divisors is an integer number (8881954088).

Almost surely, 2^{4964198400000} is an apocalyptic number.

4964198400000 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 4964198400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11191262150880).

4964198400000 is an abundant number, since it is smaller than the sum of its proper divisors (17418325901760).

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

4964198400000 is an frugal number, since it uses more digits than its factorization.

4964198400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4964198400000 in words is "four trillion, nine hundred sixty-four billion, one hundred ninety-eight million, four hundred thousand".