1261327410 has 256 divisors, whose sum is σ = 4184110080. Its totient is φ = 263761920.

The previous prime is 1261327409. The next prime is 1261327469. The reversal of 1261327410 is 147231621.

1261327410 is a `hidden beast` number, since 1 + 2 + 613 + 2 + 7 + 41 + 0 = 666.

It is a super-3 number, since 3×1261327410³ (a number of 28 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1188280 + ... + 1189340.

It is an arithmetic number, because the mean of its divisors is an integer number (16344180).

Almost surely, 2^1261327410 is an apocalyptic number.

1261327410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261327410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092055040).

1261327410 is an abundant number, since it is smaller than the sum of its proper divisors (2922782670).

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

1261327410 is a wasteful number, since it uses less digits than its factorization.

1261327410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1261327410 is about 35515.1715468193. The cubic root of 1261327410 is about 1080.4614540400.

The spelling of 1261327410 in words is "one billion, two hundred sixty-one million, three hundred twenty-seven thousand, four hundred ten".