1261738416 has 80 divisors (see below), whose sum is σ = 3415209984. Its totient is φ = 400637952.

The previous prime is 1261738411. The next prime is 1261738441. The reversal of 1261738416 is 6148371621.

It is a super-3 number, since 3×1261738416³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1261738411) 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, 281505 + ... + 285951.

Almost surely, 2^1261738416 is an apocalyptic number.

1261738416 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 1261738416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707604992).

1261738416 is an abundant number, since it is smaller than the sum of its proper divisors (2153471568).

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

1261738416 is a wasteful number, since it uses less digits than its factorization.

1261738416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1261738416 is about 35520.9574195291. The cubic root of 1261738416 is about 1080.5787981203.

The spelling of 1261738416 in words is "one billion, two hundred sixty-one million, seven hundred thirty-eight thousand, four hundred sixteen".