40101003312 has 160 divisors (see below), whose sum is σ = 109289005056. Its totient is φ = 12652723200.

The previous prime is 40101003289. The next prime is 40101003329. The reversal of 40101003312 is 21330010104.

It is a junction number, because it is equal to n+sod(n) for n = 40101003291 and 40101003300.

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 31 ways as a sum of consecutive naturals, for example, 36355753 + ... + 36356855.

Almost surely, 2^40101003312 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 40101003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54644502528).

40101003312 is an abundant number, since it is smaller than the sum of its proper divisors (69188001744).

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

40101003312 is a wasteful number, since it uses less digits than its factorization.

40101003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 40101003312 its reverse (21330010104), we get a palindrome (61431013416).

The spelling of 40101003312 in words is "forty billion, one hundred one million, three thousand, three hundred twelve".