1071148416 has 128 divisors (see below), whose sum is σ = 3080767200. Its totient is φ = 327794688.

The previous prime is 1071148381. The next prime is 1071148417. The reversal of 1071148416 is 6148411701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×1071148416⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071148417) 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, 1142700 + ... + 1143636.

Almost surely, 2^1071148416 is an apocalyptic number.

1071148416 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 1071148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540383600).

1071148416 is an abundant number, since it is smaller than the sum of its proper divisors (2009618784).

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

1071148416 is a wasteful number, since it uses less digits than its factorization.

1071148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1071148416 is about 32728.4038107574. The cubic root of 1071148416 is about 1023.1749131653.

The spelling of 1071148416 in words is "one billion, seventy-one million, one hundred forty-eight thousand, four hundred sixteen".