1136990442240 has 720 divisors, whose sum is σ = 4446845948160. Its totient is φ = 276143800320.

The previous prime is 1136990442233. The next prime is 1136990442293. The reversal of 1136990442240 is 422440996311.

1136990442240 is a `hidden beast` number, since 1 + 1 + 369 + 9 + 0 + 4 + 42 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1136990442240² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54628956 + ... + 54649764.

It is an arithmetic number, because the mean of its divisors is an integer number (6176174928).

Almost surely, 2^{1136990442240} is an apocalyptic number.

1136990442240 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 1136990442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223422974080).

1136990442240 is an abundant number, since it is smaller than the sum of its proper divisors (3309855505920).

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

1136990442240 is a wasteful number, since it uses less digits than its factorization.

1136990442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20890 (or 20867 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1136990442240 in words is "one trillion, one hundred thirty-six billion, nine hundred ninety million, four hundred forty-two thousand, two hundred forty".