9142929120 has 384 divisors, whose sum is σ = 33286256640. Its totient is φ = 2089451520.

The previous prime is 9142929119. The next prime is 9142929139. The reversal of 9142929120 is 219292419.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8379775 + ... + 8380865.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 2^9142929120 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 9142929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

9142929120 is an abundant number, since it is smaller than the sum of its proper divisors (24143327520).

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

9142929120 is a wasteful number, since it uses less digits than its factorization.

9142929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9142929120 is about 95618.6651234998. The cubic root of 9142929120 is about 2091.0373215005.

The spelling of 9142929120 in words is "nine billion, one hundred forty-two million, nine hundred twenty-nine thousand, one hundred twenty".