1135332908640 has 576 divisors, whose sum is σ = 4525039209600. Its totient is φ = 259109867520.

The previous prime is 1135332908561. The next prime is 1135332908663. The reversal of 1135332908640 is 468092335311.

1135332908640 is a `hidden beast` number, since 1 + 1 + 353 + 3 + 290 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433166530 + ... + 433169150.

It is an arithmetic number, because the mean of its divisors is an integer number (7855970850).

Almost surely, 2^{1135332908640} is an apocalyptic number.

1135332908640 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 1135332908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262519604800).

1135332908640 is an abundant number, since it is smaller than the sum of its proper divisors (3389706300960).

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

1135332908640 is a wasteful number, since it uses less digits than its factorization.

1135332908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1135332908640 in words is "one trillion, one hundred thirty-five billion, three hundred thirty-two million, nine hundred eight thousand, six hundred forty".