10405011240 has 192 divisors, whose sum is σ = 37402419600. Its totient is φ = 2491969536.

The previous prime is 10405011233. The next prime is 10405011241. The reversal of 10405011240 is 4211050401.

10405011240 is a `hidden beast` number, since 1 + 0 + 40 + 501 + 124 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8320723524 + 2084287716 = 91218^2 + 45654^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10405011241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143116 + ... + 203204.

Almost surely, 2^10405011240 is an apocalyptic number.

10405011240 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 10405011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701209800).

10405011240 is an abundant number, since it is smaller than the sum of its proper divisors (26997408360).

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

10405011240 is a wasteful number, since it uses less digits than its factorization.

10405011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60156 (or 60149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10405011240 its reverse (4211050401), we get a palindrome (14616061641).

The spelling of 10405011240 in words is "ten billion, four hundred five million, eleven thousand, two hundred forty".