1035235128240 has 240 divisors, whose sum is σ = 3504715782048. Its totient is φ = 273841311744.

The previous prime is 1035235128233. The next prime is 1035235128253. The reversal of 1035235128240 is 428215325301.

1035235128240 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 23 + 512 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1035235128195 and 1035235128204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69738259 + ... + 69753101.

Almost surely, 2^{1035235128240} is an apocalyptic number.

1035235128240 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 1035235128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752357891024).

1035235128240 is an abundant number, since it is smaller than the sum of its proper divisors (2469480653808).

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

1035235128240 is a wasteful number, since it uses less digits than its factorization.

1035235128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15636 (or 15627 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1035235128240 in words is "one trillion, thirty-five billion, two hundred thirty-five million, one hundred twenty-eight thousand, two hundred forty".