1361144400 has 240 divisors, whose sum is σ = 5436461568. Its totient is φ = 282816000.

The previous prime is 1361144387. The next prime is 1361144413. The reversal of 1361144400 is 44411631.

It is an interprime number because it is at equal distance from previous prime (1361144387) and next prime (1361144413).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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, 85035 + ... + 99765.

Almost surely, 2^1361144400 is an apocalyptic number.

1361144400 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 1361144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718230784).

1361144400 is an abundant number, since it is smaller than the sum of its proper divisors (4075317168).

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

1361144400 is a wasteful number, since it uses less digits than its factorization.

1361144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14770 (or 14759 counting only the distinct ones).

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

The square root of 1361144400 is about 36893.6905174855. The cubic root of 1361144400 is about 1108.2423281915.

The spelling of 1361144400 in words is "one billion, three hundred sixty-one million, one hundred forty-four thousand, four hundred".