1024541481600 has 1536 divisors, whose sum is σ = 4640702976000. Its totient is φ = 214957670400.

The previous prime is 1024541481559. The next prime is 1024541481619. The reversal of 1024541481600 is 61841454201.

1024541481600 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 4 + 1 + 48 + 1 + 600 = 666.

1024541481600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2445206191 + ... + 2445206609.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291000).

Almost surely, 2^{1024541481600} is an apocalyptic number.

1024541481600 is a gapful number since it is divisible by the number (10) 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 1024541481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320351488000).

1024541481600 is an abundant number, since it is smaller than the sum of its proper divisors (3616161494400).

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

1024541481600 is a wasteful number, since it uses less digits than its factorization.

1024541481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1024541481600 in words is "one trillion, twenty-four billion, five hundred forty-one million, four hundred eighty-one thousand, six hundred".