1361364400 has 240 divisors, whose sum is σ = 3786186240. Its totient is φ = 465740800.

The previous prime is 1361364397. The next prime is 1361364401. The reversal of 1361364400 is 44631631.

It is not an unprimeable number, because it can be changed into a prime (1361364401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5997087 + ... + 5997313.

It is an arithmetic number, because the mean of its divisors is an integer number (15775776).

Almost surely, 2^1361364400 is an apocalyptic number.

1361364400 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 1361364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893093120).

1361364400 is an abundant number, since it is smaller than the sum of its proper divisors (2424821840).

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

1361364400 is a wasteful number, since it uses less digits than its factorization.

1361364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1361364400 is about 36896.6719366395. The cubic root of 1361364400 is about 1108.3020328972.

The spelling of 1361364400 in words is "one billion, three hundred sixty-one million, three hundred sixty-four thousand, four hundred".