1011162240 has 192 divisors, whose sum is σ = 3809332800. Its totient is φ = 245114880.

The previous prime is 1011162239. The next prime is 1011162253. The reversal of 1011162240 is 422611101.

1011162240 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 622 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55381 + ... + 71339.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^1011162240 is an apocalyptic number.

1011162240 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 1011162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904666400).

1011162240 is an abundant number, since it is smaller than the sum of its proper divisors (2798170560).

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

1011162240 is a wasteful number, since it uses less digits than its factorization.

1011162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011162240 is about 31798.7773349857. Note that the first 3 decimals coincide. The cubic root of 1011162240 is about 1003.7069879270.

Adding to 1011162240 its reverse (422611101), we get a palindrome (1433773341).

The spelling of 1011162240 in words is "one billion, eleven million, one hundred sixty-two thousand, two hundred forty".