1136323974240 has 2880 divisors, whose sum is σ = 5550725625984. Its totient is φ = 212410957824.

The previous prime is 1136323974217. The next prime is 1136323974293. The reversal of 1136323974240 is 424793236311.

1136323974240 is a `hidden beast` number, since 1 + 1 + 3 + 632 + 3 + 9 + 7 + 4 + 2 + 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 479 ways as a sum of consecutive naturals, for example, 7237732242 + ... + 7237732398.

Almost surely, 2^{1136323974240} is an apocalyptic number.

1136323974240 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 1136323974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775362812992).

1136323974240 is an abundant number, since it is smaller than the sum of its proper divisors (4414401651744).

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

1136323974240 is a wasteful number, since it uses less digits than its factorization.

1136323974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1136323974240 in words is "one trillion, one hundred thirty-six billion, three hundred twenty-three million, nine hundred seventy-four thousand, two hundred forty".