1355240135430 has 128 divisors (see below), whose sum is σ = 3626102937600. Its totient is φ = 360186279552.

The previous prime is 1355240135423. The next prime is 1355240135437. The reversal of 1355240135430 is 345310425531.

1355240135430 is a `hidden beast` number, since 1 + 3 + 5 + 52 + 40 + 135 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (1355240135423) and next prime (1355240135437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355240135437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120065247 + ... + 120076533.

It is an arithmetic number, because the mean of its divisors is an integer number (28328929200).

Almost surely, 2^{1355240135430} is an apocalyptic number.

1355240135430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355240135430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813051468800).

1355240135430 is an abundant number, since it is smaller than the sum of its proper divisors (2270862802170).

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

1355240135430 is a wasteful number, since it uses less digits than its factorization.

1355240135430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1355240135430 in words is "one trillion, three hundred fifty-five billion, two hundred forty million, one hundred thirty-five thousand, four hundred thirty".