1361401440 has 96 divisors (see below), whose sum is σ = 4901057280. Its totient is φ = 311176704.

The previous prime is 1361401439. The next prime is 1361401451. The reversal of 1361401440 is 441041631.

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 1361401440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199230 + ... + 205949.

It is an arithmetic number, because the mean of its divisors is an integer number (51052680).

Almost surely, 2^1361401440 is an apocalyptic number.

1361401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361401440 is an abundant number, since it is smaller than the sum of its proper divisors (3539655840).

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

1361401440 is a wasteful number, since it uses less digits than its factorization.

1361401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405204 (or 405196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1361401440 is about 36897.1738755152. The cubic root of 1361401440 is about 1108.3120843660.

The spelling of 1361401440 in words is "one billion, three hundred sixty-one million, four hundred one thousand, four hundred forty".