10211144040 has 128 divisors (see below), whose sum is σ = 34059312000. Its totient is φ = 2721199104.

The previous prime is 10211144039. The next prime is 10211144051. The reversal of 10211144040 is 4044111201.

10211144040 is a `hidden beast` number, since 10 + 211 + 1 + 440 + 4 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172512 + ... + 3175728.

It is an arithmetic number, because the mean of its divisors is an integer number (266088375).

Almost surely, 2^10211144040 is an apocalyptic number.

10211144040 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 10211144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029656000).

10211144040 is an abundant number, since it is smaller than the sum of its proper divisors (23848167960).

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

10211144040 is a wasteful number, since it uses less digits than its factorization.

10211144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10211144040 its reverse (4044111201), we get a palindrome (14255255241).

The spelling of 10211144040 in words is "ten billion, two hundred eleven million, one hundred forty-four thousand, forty".