40800448032 has 96 divisors (see below), whose sum is σ = 108570611520. Its totient is φ = 13414579200.

The previous prime is 40800447979. The next prime is 40800448079. The reversal of 40800448032 is 23084400804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40800448032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40800447984 and 40800448002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2600403 + ... + 2616045.

It is an arithmetic number, because the mean of its divisors is an integer number (1130943870).

Almost surely, 2^40800448032 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 40800448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54285305760).

40800448032 is an abundant number, since it is smaller than the sum of its proper divisors (67770163488).

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

40800448032 is a wasteful number, since it uses less digits than its factorization.

40800448032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 40800448032 its reverse (23084400804), we get a palindrome (63884848836).

The spelling of 40800448032 in words is "forty billion, eight hundred million, four hundred forty-eight thousand, thirty-two".