11429291942970 has 384 divisors, whose sum is σ = 31579607033856. Its totient is φ = 2624707008000.

The previous prime is 11429291942963. The next prime is 11429291943049. The reversal of 11429291942970 is 7924919292411.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3548365960 + ... + 3548369180.

It is an arithmetic number, because the mean of its divisors is an integer number (82238559984).

Almost surely, 2^{11429291942970} is an apocalyptic number.

11429291942970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11429291942970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789803516928).

11429291942970 is an abundant number, since it is smaller than the sum of its proper divisors (20150315090886).

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

11429291942970 is a wasteful number, since it uses less digits than its factorization.

11429291942970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 11429291942970 in words is "eleven trillion, four hundred twenty-nine billion, two hundred ninety-one million, nine hundred forty-two thousand, nine hundred seventy".