801385100432 has 240 divisors, whose sum is σ = 1882323523584. Its totient is φ = 329204736000.

The previous prime is 801385100431. The next prime is 801385100471. The reversal of 801385100432 is 234001583108.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 801385100392 and 801385100401.

It is not an unprimeable number, because it can be changed into a prime (801385100431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850773688 + ... + 1850774120.

Almost surely, 2^801385100432 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 801385100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941161761792).

801385100432 is an abundant number, since it is smaller than the sum of its proper divisors (1080938423152).

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

801385100432 is a wasteful number, since it uses less digits than its factorization.

801385100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 801385100432 in words is "eight hundred one billion, three hundred eighty-five million, one hundred thousand, four hundred thirty-two".