1355142050640 has 320 divisors, whose sum is σ = 5335658496000. Its totient is φ = 309681086976.

The previous prime is 1355142050627. The next prime is 1355142050651. The reversal of 1355142050640 is 460502415531.

1355142050640 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 4 + 2 + 0 + 5 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1355142050595 and 1355142050604.

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, 131523729 + ... + 131534031.

It is an arithmetic number, because the mean of its divisors is an integer number (16673932800).

Almost surely, 2^{1355142050640} is an apocalyptic number.

1355142050640 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 1355142050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667829248000).

1355142050640 is an abundant number, since it is smaller than the sum of its proper divisors (3980516445360).

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

1355142050640 is a wasteful number, since it uses less digits than its factorization.

1355142050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19031 (or 19019 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1355142050640 in words is "one trillion, three hundred fifty-five billion, one hundred forty-two million, fifty thousand, six hundred forty".