29495942000 has 640 divisors, whose sum is σ = 91613184000. Its totient is φ = 9144576000.

The previous prime is 29495941973. The next prime is 29495942023. The reversal of 29495942000 is 24959492.

It is a super-4 number, since 4×29495942000⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404053964 + ... + 404054036.

It is an arithmetic number, because the mean of its divisors is an integer number (143145600).

Almost surely, 2^29495942000 is an apocalyptic number.

29495942000 is a gapful number since it is divisible by the number (20) 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 29495942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45806592000).

29495942000 is an abundant number, since it is smaller than the sum of its proper divisors (62117242000).

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

29495942000 is a wasteful number, since it uses less digits than its factorization.

29495942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 29495942000 in words is "twenty-nine billion, four hundred ninety-five million, nine hundred forty-two thousand".