1262401440 has 96 divisors (see below), whose sum is σ = 3985148160. Its totient is φ = 335913984.

The previous prime is 1262401429. The next prime is 1262401451. The reversal of 1262401440 is 441042621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1262401429) and next prime (1262401451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1262401440.

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 15 ways as a sum of consecutive naturals, for example, 241737 + ... + 246903.

It is an arithmetic number, because the mean of its divisors is an integer number (41511960).

Almost surely, 2^1262401440 is an apocalyptic number.

1262401440 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 1262401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992574080).

1262401440 is an abundant number, since it is smaller than the sum of its proper divisors (2722746720).

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

1262401440 is a wasteful number, since it uses less digits than its factorization.

1262401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1262401440 is about 35530.2890503300. The cubic root of 1262401440 is about 1080.7680407848.

The spelling of 1262401440 in words is "one billion, two hundred sixty-two million, four hundred one thousand, four hundred forty".