1358041480 has 64 divisors (see below), whose sum is σ = 3151779840. Its totient is φ = 526321152.

The previous prime is 1358041457. The next prime is 1358041501. The reversal of 1358041480 is 841408531.

It is a super-3 number, since 3×1358041480³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 215332 + ... + 221548.

It is an arithmetic number, because the mean of its divisors is an integer number (49246560).

Almost surely, 2^1358041480 is an apocalyptic number.

1358041480 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 1358041480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575889920).

1358041480 is an abundant number, since it is smaller than the sum of its proper divisors (1793738360).

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

1358041480 is a wasteful number, since it uses less digits than its factorization.

1358041480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1358041480 is about 36851.6143472711. The cubic root of 1358041480 is about 1107.3995560688.

The spelling of 1358041480 in words is "one billion, three hundred fifty-eight million, forty-one thousand, four hundred eighty".