44961600000 has 960 divisors, whose sum is σ = 172620201600. Its totient is φ = 10321920000.

The previous prime is 44961599999. The next prime is 44961600001. The reversal of 44961600000 is 616944.

It is an interprime number because it is at equal distance from previous prime (44961599999) and next prime (44961600001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (44961600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550399986 + ... + 1550400014.

It is an arithmetic number, because the mean of its divisors is an integer number (179812710).

Almost surely, 2^44961600000 is an apocalyptic number.

44961600000 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 44961600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86310100800).

44961600000 is an abundant number, since it is smaller than the sum of its proper divisors (127658601600).

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

44961600000 is an equidigital number, since it uses as much as digits as its factorization.

44961600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 44961600000 in words is "forty-four billion, nine hundred sixty-one million, six hundred thousand".