1051144417416 has 64 divisors (see below), whose sum is σ = 2783043072000. Its totient is φ = 330145282368.

The previous prime is 1051144417381. The next prime is 1051144417417. The reversal of 1051144417416 is 6147144411501.

1051144417416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051144417416² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051144417417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14173816 + ... + 14247783.

It is an arithmetic number, because the mean of its divisors is an integer number (43485048000).

Almost surely, 2^{1051144417416} is an apocalyptic number.

It is an amenable number.

1051144417416 is an abundant number, since it is smaller than the sum of its proper divisors (1731898654584).

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

1051144417416 is a wasteful number, since it uses less digits than its factorization.

1051144417416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28421698 (or 28421694 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

Adding to 1051144417416 its reverse (6147144411501), we get a palindrome (7198288828917).

The spelling of 1051144417416 in words is "one trillion, fifty-one billion, one hundred forty-four million, four hundred seventeen thousand, four hundred sixteen".