10400124072 has 128 divisors (see below), whose sum is σ = 29072131200. Its totient is φ = 3078362112.

The previous prime is 10400124071. The next prime is 10400124109. The reversal of 10400124072 is 27042100401.

It is a happy number.

10400124072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10400124072² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10400124071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649103 + ... + 2653025.

It is an arithmetic number, because the mean of its divisors is an integer number (227126025).

Almost surely, 2^10400124072 is an apocalyptic number.

10400124072 is a gapful number since it is divisible by the number (12) 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 10400124072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536065600).

10400124072 is an abundant number, since it is smaller than the sum of its proper divisors (18672007128).

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

10400124072 is a wasteful number, since it uses less digits than its factorization.

10400124072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 10400124072 its reverse (27042100401), we get a palindrome (37442224473).

The spelling of 10400124072 in words is "ten billion, four hundred million, one hundred twenty-four thousand, seventy-two".