1356889909440 has 896 divisors, whose sum is σ = 4951011631104. Its totient is φ = 312459264000.

The previous prime is 1356889909439. The next prime is 1356889909457. The reversal of 1356889909440 is 449099886531.

It is a super-2 number, since 2×1356889909440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2077932154 + ... + 2077932806.

It is an arithmetic number, because the mean of its divisors is an integer number (5525682624).

Almost surely, 2^{1356889909440} is an apocalyptic number.

1356889909440 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 1356889909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475505815552).

1356889909440 is an abundant number, since it is smaller than the sum of its proper divisors (3594121721664).

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

1356889909440 is a wasteful number, since it uses less digits than its factorization.

1356889909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 1356889909440 in words is "one trillion, three hundred fifty-six billion, eight hundred eighty-nine million, nine hundred nine thousand, four hundred forty".