1361449320 has 512 divisors, whose sum is σ = 5419008000. Its totient is φ = 270950400.

The previous prime is 1361449279. The next prime is 1361449339. The reversal of 1361449320 is 239441631.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 14035512 + ... + 14035608.

It is an arithmetic number, because the mean of its divisors is an integer number (10584000).

Almost surely, 2^1361449320 is an apocalyptic number.

1361449320 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 1361449320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1361449320 is an abundant number, since it is smaller than the sum of its proper divisors (4057558680).

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

1361449320 is a wasteful number, since it uses less digits than its factorization.

1361449320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1361449320 is about 36897.8226999914. The cubic root of 1361449320 is about 1108.3250771930.

The spelling of 1361449320 in words is "one billion, three hundred sixty-one million, four hundred forty-nine thousand, three hundred twenty".