40322001024 has 96 divisors (see below), whose sum is σ = 116770331340. Its totient is φ = 13354997760.

The previous prime is 40322001019. The next prime is 40322001029. The reversal of 40322001024 is 42010022304.

It is an interprime number because it is at equal distance from previous prime (40322001019) and next prime (40322001029).

It can be written as a sum of positive squares in 2 ways, for example, as 40227522624 + 94478400 = 200568^2 + 9720^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40322000988 and 40322001006.

It is not an unprimeable number, because it can be changed into a prime (40322001029) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69394 + ... + 292334.

Almost surely, 2^40322001024 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 40322001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58385165670).

40322001024 is an abundant number, since it is smaller than the sum of its proper divisors (76448330316).

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

40322001024 is a wasteful number, since it uses less digits than its factorization.

40322001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223118 (or 223103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40322001024 its reverse (42010022304), we get a palindrome (82332023328).

It can be divided in two parts, 4032 and 2001024, that added together give a square (2005056 = 1416²).

The spelling of 40322001024 in words is "forty billion, three hundred twenty-two million, one thousand, twenty-four".