1363879440 has 480 divisors, whose sum is σ = 5805985536. Its totient is φ = 278691840.

The previous prime is 1363879409. The next prime is 1363879453. The reversal of 1363879440 is 449783631.

1363879440 is a `hidden beast` number, since 1 + 3 + 638 + 7 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 4046952 + ... + 4047288.

Almost surely, 2^1363879440 is an apocalyptic number.

1363879440 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 1363879440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902992768).

1363879440 is an abundant number, since it is smaller than the sum of its proper divisors (4442106096).

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

1363879440 is a wasteful number, since it uses less digits than its factorization.

1363879440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1363879440 is about 36930.7384166632. The cubic root of 1363879440 is about 1108.9841204586.

The spelling of 1363879440 in words is "one billion, three hundred sixty-three million, eight hundred seventy-nine thousand, four hundred forty".