29413413120 has 576 divisors, whose sum is σ = 118494964224. Its totient is φ = 6051594240.

The previous prime is 29413413119. The next prime is 29413413121. The reversal of 29413413120 is 2131431492.

It is an interprime number because it is at equal distance from previous prime (29413413119) and next prime (29413413121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (29413413121) by changing a digit.

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, 14326014 + ... + 14328066.

It is an arithmetic number, because the mean of its divisors is an integer number (205720424).

Almost surely, 2^29413413120 is an apocalyptic number.

29413413120 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 29413413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59247482112).

29413413120 is an abundant number, since it is smaller than the sum of its proper divisors (89081551104).

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

29413413120 is a wasteful number, since it uses less digits than its factorization.

29413413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 29413413120 in words is "twenty-nine billion, four hundred thirteen million, four hundred thirteen thousand, one hundred twenty".