801033712128 has 400 divisors, whose sum is σ = 2595283891200. Its totient is φ = 244510285824.

The previous prime is 801033712111. The next prime is 801033712249. The reversal of 801033712128 is 821217330108.

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

It is a junction number, because it is equal to n+sod(n) for n = 801033712092 and 801033712101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68464423 + ... + 68476121.

It is an arithmetic number, because the mean of its divisors is an integer number (6488209728).

Almost surely, 2^801033712128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801033712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297641945600).

801033712128 is an abundant number, since it is smaller than the sum of its proper divisors (1794250179072).

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

801033712128 is a wasteful number, since it uses less digits than its factorization.

801033712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 801033712128 in words is "eight hundred one billion, thirty-three million, seven hundred twelve thousand, one hundred twenty-eight".