1034155434240 has 504 divisors, whose sum is σ = 3728328688728. Its totient is φ = 274710528000.

The previous prime is 1034155434203. The next prime is 1034155434253. The reversal of 1034155434240 is 424345514301.

1034155434240 is a `hidden beast` number, since 1 + 0 + 34 + 1 + 5 + 543 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22730989824 + 1011424444416 = 150768^2 + 1005696^2 .

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 = 1034155434195 and 1034155434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 258472240 + ... + 258476240.

It is an arithmetic number, because the mean of its divisors is an integer number (7397477557).

Almost surely, 2^{1034155434240} is an apocalyptic number.

1034155434240 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 1034155434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864164344364).

1034155434240 is an abundant number, since it is smaller than the sum of its proper divisors (2694173254488).

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

1034155434240 is an frugal number, since it uses more digits than its factorization.

1034155434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1034155434240 in words is "one trillion, thirty-four billion, one hundred fifty-five million, four hundred thirty-four thousand, two hundred forty".