1261094400 has 480 divisors, whose sum is σ = 4795005600. Its totient is φ = 324403200.

The previous prime is 1261094339. The next prime is 1261094407. The reversal of 1261094400 is 44901621.

1261094400 is a `hidden beast` number, since 1 + 2 + 610 + 9 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1261094400² = 3180718171422720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261094407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14169556 + ... + 14169644.

It is an arithmetic number, because the mean of its divisors is an integer number (9989595).

Almost surely, 2^1261094400 is an apocalyptic number.

1261094400 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 1261094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397502800).

1261094400 is an abundant number, since it is smaller than the sum of its proper divisors (3533911200).

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

1261094400 is an equidigital number, since it uses as much as digits as its factorization.

1261094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1261094400 is about 35511.8909662665. The cubic root of 1261094400 is about 1080.3949173037.

The spelling of 1261094400 in words is "one billion, two hundred sixty-one million, ninety-four thousand, four hundred".