1008092442240 has 1536 divisors, whose sum is σ = 4199334451200. Its totient is φ = 226934784000.

The previous prime is 1008092442223. The next prime is 1008092442277. The reversal of 1008092442240 is 422442908001.

1008092442240 is a `hidden beast` number, since 10 + 0 + 80 + 92 + 442 + 2 + 40 = 666.

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 = 1008092442195 and 1008092442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2513946040 + ... + 2513946440.

It is an arithmetic number, because the mean of its divisors is an integer number (2733941700).

Almost surely, 2^{1008092442240} is an apocalyptic number.

1008092442240 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 1008092442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099667225600).

1008092442240 is an abundant number, since it is smaller than the sum of its proper divisors (3191242008960).

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

1008092442240 is a wasteful number, since it uses less digits than its factorization.

1008092442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1008092442240 in words is "one trillion, eight billion, ninety-two million, four hundred forty-two thousand, two hundred forty".