10124042040 has 256 divisors, whose sum is σ = 38952576000. Its totient is φ = 2290982400.

The previous prime is 10124042021. The next prime is 10124042053. The reversal of 10124042040 is 4024042101.

10124042040 is a `hidden beast` number, since 1 + 0 + 1 + 240 + 420 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756931 + ... + 770189.

It is an arithmetic number, because the mean of its divisors is an integer number (152158500).

Almost surely, 2^10124042040 is an apocalyptic number.

10124042040 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 10124042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476288000).

10124042040 is an abundant number, since it is smaller than the sum of its proper divisors (28828533960).

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

10124042040 is a wasteful number, since it uses less digits than its factorization.

10124042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13387 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10124042040 its reverse (4024042101), we get a palindrome (14148084141).

The spelling of 10124042040 in words is "ten billion, one hundred twenty-four million, forty-two thousand, forty".