1001281422240 has 1152 divisors, whose sum is σ = 4068531597312. Its totient is φ = 230176235520.

The previous prime is 1001281422181. The next prime is 1001281422293. The reversal of 1001281422240 is 422241821001.

1001281422240 is a `hidden beast` number, since 100 + 1 + 281 + 42 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1347619309 + ... + 1347620051.

It is an arithmetic number, because the mean of its divisors is an integer number (3531711456).

Almost surely, 2^{1001281422240} is an apocalyptic number.

1001281422240 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 1001281422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034265798656).

1001281422240 is an abundant number, since it is smaller than the sum of its proper divisors (3067250175072).

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

1001281422240 is a wasteful number, since it uses less digits than its factorization.

1001281422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 1001281422240 in words is "one trillion, one billion, two hundred eighty-one million, four hundred twenty-two thousand, two hundred forty".