10429156382008 has 128 divisors (see below), whose sum is σ = 24232495472640. Its totient is φ = 4097511360000.

The previous prime is 10429156381981. The next prime is 10429156382011. The reversal of 10429156382008 is 80028365192401.

It is a super-2 number, since 2×10429156382008² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 601407418 + ... + 601424758.

It is an arithmetic number, because the mean of its divisors is an integer number (189316370880).

Almost surely, 2^{10429156382008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429156382008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12116247736320).

10429156382008 is an abundant number, since it is smaller than the sum of its proper divisors (13803339090632).

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

10429156382008 is a wasteful number, since it uses less digits than its factorization.

10429156382008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22989 (or 22985 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 10429156382008 in words is "ten trillion, four hundred twenty-nine billion, one hundred fifty-six million, three hundred eighty-two thousand, eight".