2445443481600 has 1440 divisors, whose sum is σ = 10609587609600. Its totient is φ = 540396748800.

The previous prime is 2445443481589. The next prime is 2445443481601. The reversal of 2445443481600 is 61843445442.

It is a happy number.

2445443481600 is a `hidden beast` number, since 2 + 4 + 4 + 5 + 4 + 4 + 34 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (2445443481601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2399845891 + ... + 2399846909.

Almost surely, 2^{2445443481600} is an apocalyptic number.

2445443481600 is a gapful number since it is divisible by the number (20) 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 2445443481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304793804800).

2445443481600 is an abundant number, since it is smaller than the sum of its proper divisors (8164144128000).

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

2445443481600 is a wasteful number, since it uses less digits than its factorization.

2445443481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2445443481600 in words is "two trillion, four hundred forty-five billion, four hundred forty-three million, four hundred eighty-one thousand, six hundred".