1204076528640 has 528 divisors, whose sum is σ = 4236488231040. Its totient is φ = 316163358720.

The previous prime is 1204076528639. The next prime is 1204076528659. The reversal of 1204076528640 is 468256704021.

1204076528640 is a `hidden beast` number, since 1 + 20 + 40 + 7 + 6 + 528 + 64 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357470277 + ... + 1357471163.

Almost surely, 2^{1204076528640} is an apocalyptic number.

1204076528640 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 1204076528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118244115520).

1204076528640 is an abundant number, since it is smaller than the sum of its proper divisors (3032411702400).

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

1204076528640 is a wasteful number, since it uses less digits than its factorization.

1204076528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1204076528640 in words is "one trillion, two hundred four billion, seventy-six million, five hundred twenty-eight thousand, six hundred forty".