10040120433312 has 192 divisors, whose sum is σ = 26901147893760. Its totient is φ = 3277834502144.

The previous prime is 10040120433269. The next prime is 10040120433341. The reversal of 10040120433312 is 21333402104001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2640050803 + ... + 2640054605.

It is an arithmetic number, because the mean of its divisors is an integer number (140110145280).

Almost surely, 2^{10040120433312} is an apocalyptic number.

10040120433312 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 10040120433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450573946880).

10040120433312 is an abundant number, since it is smaller than the sum of its proper divisors (16861027460448).

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

10040120433312 is a wasteful number, since it uses less digits than its factorization.

10040120433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10040120433312 its reverse (21333402104001), we get a palindrome (31373522537313).

The spelling of 10040120433312 in words is "ten trillion, forty billion, one hundred twenty million, four hundred thirty-three thousand, three hundred twelve".