4101699536928 has 480 divisors, whose sum is σ = 14339877285888. Its totient is φ = 1125432921600.

The previous prime is 4101699536863. The next prime is 4101699536947. The reversal of 4101699536928 is 8296359961014.

4101699536928 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 6 + 9 + 9 + 536 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 73654951 + ... + 73710617.

Almost surely, 2^{4101699536928} is an apocalyptic number.

4101699536928 is a gapful number since it is divisible by the number (48) 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 4101699536928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169938642944).

4101699536928 is an abundant number, since it is smaller than the sum of its proper divisors (10238177748960).

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

4101699536928 is a wasteful number, since it uses less digits than its factorization.

4101699536928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55858 (or 55841 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 4101699536928 in words is "four trillion, one hundred one billion, six hundred ninety-nine million, five hundred thirty-six thousand, nine hundred twenty-eight".