1361486880 has 240 divisors, whose sum is σ = 5175163224. Its totient is φ = 335093760.

The previous prime is 1361486879. The next prime is 1361486899. The reversal of 1361486880 is 886841631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 742671504 + 618815376 = 27252^2 + 24876^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164440 + ... + 172520.

Almost surely, 2^1361486880 is an apocalyptic number.

1361486880 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 1361486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587581612).

1361486880 is an abundant number, since it is smaller than the sum of its proper divisors (3813676344).

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

1361486880 is a wasteful number, since it uses less digits than its factorization.

1361486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1361486880 is about 36898.3316696026. The cubic root of 1361486880 is about 1108.3352693479.

The spelling of 1361486880 in words is "one billion, three hundred sixty-one million, four hundred eighty-six thousand, eight hundred eighty".