29962418000 has 80 divisors (see below), whose sum is σ = 72543888144. Its totient is φ = 11969292800.

The previous prime is 29962417999. The next prime is 29962418027. The reversal of 29962418000 is 81426992.

It can be written as a sum of positive squares in 8 ways, for example, as 5287034944 + 24675383056 = 72712^2 + 157084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584602 + ... + 1603398.

Almost surely, 2^29962418000 is an apocalyptic number.

29962418000 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 29962418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271944072).

29962418000 is an abundant number, since it is smaller than the sum of its proper divisors (42581470144).

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

29962418000 is a wasteful number, since it uses less digits than its factorization.

29962418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19617 (or 19601 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 29962418000 in words is "twenty-nine billion, nine hundred sixty-two million, four hundred eighteen thousand".