1016040000032 has 192 divisors, whose sum is σ = 2112112558080. Its totient is φ = 480568550400.

The previous prime is 1016039999993. The next prime is 1016040000037. The reversal of 1016040000032 is 2300000406101.

It is not an unprimeable number, because it can be changed into a prime (1016040000037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4556233073 + ... + 4556233295.

It is an arithmetic number, because the mean of its divisors is an integer number (11000586240).

Almost surely, 2^{1016040000032} is an apocalyptic number.

1016040000032 is the 823019-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016040000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056056279040).

1016040000032 is an abundant number, since it is smaller than the sum of its proper divisors (1096072558048).

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

1016040000032 is a wasteful number, since it uses less digits than its factorization.

1016040000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1016040000032 its reverse (2300000406101), we get a palindrome (3316040406133).

The spelling of 1016040000032 in words is "one trillion, sixteen billion, forty million, thirty-two", and thus it is an aban number and an uban number.