1016405961744 has 20 divisors (see below), whose sum is σ = 2625715401296. Its totient is φ = 338801987232.

The previous prime is 1016405961743. The next prime is 1016405961757. The reversal of 1016405961744 is 4471695046101.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 21175124203 = 1016405961744 / (1 + 0 + 1 + 6 + 4 + 0 + 5 + 9 + 6 + 1 + 7 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1016405961693 and 1016405961702.

It is not an unprimeable number, because it can be changed into a prime (1016405961743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10587562054 + ... + 10587562149.

Almost surely, 2^{1016405961744} is an apocalyptic number.

It is an amenable number.

1016405961744 is an abundant number, since it is smaller than the sum of its proper divisors (1609309439552).

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

1016405961744 is a wasteful number, since it uses less digits than its factorization.

1016405961744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21175124214 (or 21175124208 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1016405961744 in words is "one trillion, sixteen billion, four hundred five million, nine hundred sixty-one thousand, seven hundred forty-four".