1261418400 has 288 divisors, whose sum is σ = 4977806400. Its totient is φ = 305740800.

The previous prime is 1261418351. The next prime is 1261418401. The reversal of 1261418400 is 48141621.

It is a happy number.

1261418400 is a `hidden beast` number, since 1 + 2 + 614 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1261418401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 234946 + ... + 240254.

It is an arithmetic number, because the mean of its divisors is an integer number (17284050).

Almost surely, 2^1261418400 is an apocalyptic number.

1261418400 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 1261418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488903200).

1261418400 is an abundant number, since it is smaller than the sum of its proper divisors (3716388000).

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

1261418400 is a wasteful number, since it uses less digits than its factorization.

1261418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1261418400 is about 35516.4525255550. The cubic root of 1261418400 is about 1080.4874342951.

The spelling of 1261418400 in words is "one billion, two hundred sixty-one million, four hundred eighteen thousand, four hundred".