1356387840 has 240 divisors, whose sum is σ = 4975315488. Its totient is φ = 340328448.

The previous prime is 1356387833. The next prime is 1356387869. The reversal of 1356387840 is 487836531.

1356387840 is a `hidden beast` number, since 1 + 3 + 5 + 638 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 389949 + ... + 393411.

Almost surely, 2^1356387840 is an apocalyptic number.

1356387840 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 1356387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487657744).

1356387840 is an abundant number, since it is smaller than the sum of its proper divisors (3618927648).

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

1356387840 is a wasteful number, since it uses less digits than its factorization.

1356387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1356387840 is about 36829.1710468753. The cubic root of 1356387840 is about 1106.9498928317.

The spelling of 1356387840 in words is "one billion, three hundred fifty-six million, three hundred eighty-seven thousand, eight hundred forty".