1204136729928 has 512 divisors, whose sum is σ = 3862619136000. Its totient is φ = 344265707520.

The previous prime is 1204136729911. The next prime is 1204136729969. The reversal of 1204136729928 is 8299276314021.

1204136729928 is a `hidden beast` number, since 120 + 413 + 67 + 29 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466899343 + ... + 466901921.

It is an arithmetic number, because the mean of its divisors is an integer number (7544178000).

Almost surely, 2^{1204136729928} is an apocalyptic number.

1204136729928 is a gapful number since it is divisible by the number (18) 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 1204136729928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931309568000).

1204136729928 is an abundant number, since it is smaller than the sum of its proper divisors (2658482406072).

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

1204136729928 is a wasteful number, since it uses less digits than its factorization.

1204136729928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1204136729928 in words is "one trillion, two hundred four billion, one hundred thirty-six million, seven hundred twenty-nine thousand, nine hundred twenty-eight".