1355975040 has 512 divisors, whose sum is σ = 5287680000. Its totient is φ = 295034880.

The previous prime is 1355974987. The next prime is 1355975053. The reversal of 1355975040 is 405795531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355975040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19098205 + ... + 19098275.

It is an arithmetic number, because the mean of its divisors is an integer number (10327500).

Almost surely, 2^1355975040 is an apocalyptic number.

1355975040 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 1355975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840000).

1355975040 is an abundant number, since it is smaller than the sum of its proper divisors (3931704960).

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

1355975040 is an equidigital number, since it uses as much as digits as its factorization.

1355975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 1355975040 is about 36823.5663672057. The cubic root of 1355975040 is about 1106.8375858976.

The spelling of 1355975040 in words is "one billion, three hundred fifty-five million, nine hundred seventy-five thousand, forty".