29149844400 has 180 divisors, whose sum is σ = 101235576312. Its totient is φ = 7767336960.

The previous prime is 29149844371. The next prime is 29149844417. The reversal of 29149844400 is 444894192.

29149844400 is a `hidden beast` number, since 2 + 91 + 49 + 84 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×29149844400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6719032 + ... + 6723368.

Almost surely, 2^29149844400 is an apocalyptic number.

29149844400 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 29149844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50617788156).

29149844400 is an abundant number, since it is smaller than the sum of its proper divisors (72085731912).

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

29149844400 is a wasteful number, since it uses less digits than its factorization.

29149844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 29149844400 in words is "twenty-nine billion, one hundred forty-nine million, eight hundred forty-four thousand, four hundred".