1350839040 has 144 divisors (see below), whose sum is σ = 4568241888. Its totient is φ = 339017728.

The previous prime is 1350838987. The next prime is 1350839069. The reversal of 1350839040 is 409380531.

It is a super-2 number, since 2×1350839040² = 3649532223976243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1350838992 and 1350839010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54934 + ... + 75626.

It is an arithmetic number, because the mean of its divisors is an integer number (31723902).

Almost surely, 2^1350839040 is an apocalyptic number.

1350839040 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 1350839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284120944).

1350839040 is an abundant number, since it is smaller than the sum of its proper divisors (3217402848).

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

1350839040 is a wasteful number, since it uses less digits than its factorization.

1350839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20734 (or 20720 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1350839040 is about 36753.7622564004. The cubic root of 1350839040 is about 1105.4383688244.

The spelling of 1350839040 in words is "one billion, three hundred fifty million, eight hundred thirty-nine thousand, forty".