1145140416 has 336 divisors, whose sum is σ = 3973389056. Its totient is φ = 320246784.

The previous prime is 1145140379. The next prime is 1145140421. The reversal of 1145140416 is 6140415411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1145140416² = 2622693144713306112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1145140416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7293810 + ... + 7293966.

Almost surely, 2^1145140416 is an apocalyptic number.

1145140416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986694528).

1145140416 is an abundant number, since it is smaller than the sum of its proper divisors (2828248640).

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

1145140416 is an equidigital number, since it uses as much as digits as its factorization.

1145140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1145140416 is about 33839.9234041686. The cubic root of 1145140416 is about 1046.2117201858.

Adding to 1145140416 its reverse (6140415411), we get a palindrome (7285555827).

The spelling of 1145140416 in words is "one billion, one hundred forty-five million, one hundred forty thousand, four hundred sixteen".