1350363840 has 224 divisors, whose sum is σ = 5033247744. Its totient is φ = 300257280.

The previous prime is 1350363821. The next prime is 1350363841. The reversal of 1350363840 is 483630531.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1350363841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245925 + ... + 251355.

It is an arithmetic number, because the mean of its divisors is an integer number (22469856).

Almost surely, 2^1350363840 is an apocalyptic number.

1350363840 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 1350363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516623872).

1350363840 is an abundant number, since it is smaller than the sum of its proper divisors (3682883904).

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

1350363840 is a wasteful number, since it uses less digits than its factorization.

1350363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1350363840 is about 36747.2970434561. The cubic root of 1350363840 is about 1105.3087294159.

The spelling of 1350363840 in words is "one billion, three hundred fifty million, three hundred sixty-three thousand, eight hundred forty".