1040040144032 has 48 divisors (see below), whose sum is σ = 2086864215912. Its totient is φ = 510049013760.

The previous prime is 1040040144019. The next prime is 1040040144079. The reversal of 1040040144032 is 2304410400401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1036397297296 + 3642846736 = 1018036^2 + 60356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1040040143989 and 1040040144007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5429732 + ... + 5618012.

Almost surely, 2^{1040040144032} 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 1040040144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043432107956).

1040040144032 is an abundant number, since it is smaller than the sum of its proper divisors (1046824071880).

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

1040040144032 is a wasteful number, since it uses less digits than its factorization.

1040040144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191601 (or 191593 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1040040144032 its reverse (2304410400401), we get a palindrome (3344450544433).

The spelling of 1040040144032 in words is "one trillion, forty billion, forty million, one hundred forty-four thousand, thirty-two".