10029041088 has 112 divisors (see below), whose sum is σ = 29204326656. Its totient is φ = 3012136960.

The previous prime is 10029041083. The next prime is 10029041107. The reversal of 10029041088 is 88014092001.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029041083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217645 + ... + 259667.

Almost surely, 2^10029041088 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 10029041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602163328).

10029041088 is an abundant number, since it is smaller than the sum of its proper divisors (19175285568).

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

10029041088 is a wasteful number, since it uses less digits than its factorization.

10029041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42162 (or 42152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10029041088 in words is "ten billion, twenty-nine million, forty-one thousand, eighty-eight".