1355232840192 has 800 divisors, whose sum is σ = 5060565924480. Its totient is φ = 350793400320.

The previous prime is 1355232840179. The next prime is 1355232840209. The reversal of 1355232840192 is 2910482325531.

1355232840192 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 232 + 8 + 401 + 9 + 2 = 666.

It is a super-2 number, since 2×1355232840192² (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 79 ways as a sum of consecutive naturals, for example, 1267757034 + ... + 1267758102.

Almost surely, 2^{1355232840192} is an apocalyptic number.

1355232840192 is a gapful number since it is divisible by the number (12) 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 1355232840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530282962240).

1355232840192 is an abundant number, since it is smaller than the sum of its proper divisors (3705333084288).

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

1355232840192 is a wasteful number, since it uses less digits than its factorization.

1355232840192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1355232840192 in words is "one trillion, three hundred fifty-five billion, two hundred thirty-two million, eight hundred forty thousand, one hundred ninety-two".