1364803440 has 960 divisors, whose sum is σ = 6273884160. Its totient is φ = 237219840.

The previous prime is 1364803411. The next prime is 1364803471. The reversal of 1364803440 is 443084631.

It is a happy number.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59339269 + ... + 59339291.

It is an arithmetic number, because the mean of its divisors is an integer number (6535296).

Almost surely, 2^1364803440 is an apocalyptic number.

1364803440 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 1364803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136942080).

1364803440 is an abundant number, since it is smaller than the sum of its proper divisors (4909080720).

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

1364803440 is a wasteful number, since it uses less digits than its factorization.

1364803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1364803440 is about 36943.2462027906. The cubic root of 1364803440 is about 1109.2345018290.

The spelling of 1364803440 in words is "one billion, three hundred sixty-four million, eight hundred three thousand, four hundred forty".