10124202323040 has 384 divisors, whose sum is σ = 36440769576960. Its totient is φ = 2340608114688.

The previous prime is 10124202322937. The next prime is 10124202323129. The reversal of 10124202323040 is 4032320242101.

It is a happy number.

10124202323040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10124202323040.

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, 50712697 + ... + 50911943.

It is an arithmetic number, because the mean of its divisors is an integer number (94897837440).

Almost surely, 2^{10124202323040} is an apocalyptic number.

10124202323040 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 10124202323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220384788480).

10124202323040 is an abundant number, since it is smaller than the sum of its proper divisors (26316567253920).

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

10124202323040 is a wasteful number, since it uses less digits than its factorization.

10124202323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199774 (or 199766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10124202323040 its reverse (4032320242101), we get a palindrome (14156522565141).

The spelling of 10124202323040 in words is "ten trillion, one hundred twenty-four billion, two hundred two million, three hundred twenty-three thousand, forty".