1261427400 has 144 divisors (see below), whose sum is σ = 4247942400. Its totient is φ = 335456640.

The previous prime is 1261427399. The next prime is 1261427449. The reversal of 1261427400 is 47241621.

1261427400 is a `hidden beast` number, since 1 + 2 + 614 + 2 + 7 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 875881 + ... + 877319.

It is an arithmetic number, because the mean of its divisors is an integer number (29499600).

Almost surely, 2^1261427400 is an apocalyptic number.

1261427400 is a gapful number since it is divisible by the number (10) 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 1261427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123971200).

1261427400 is an abundant number, since it is smaller than the sum of its proper divisors (2986515000).

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

1261427400 is a wasteful number, since it uses less digits than its factorization.

1261427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1261427400 is about 35516.5792271722. The cubic root of 1261427400 is about 1080.4900039854.

The spelling of 1261427400 in words is "one billion, two hundred sixty-one million, four hundred twenty-seven thousand, four hundred".