29834990411200 has 252 divisors, whose sum is σ = 82235453324040. Its totient is φ = 10636131717120.

The previous prime is 29834990411189. The next prime is 29834990411273. The reversal of 29834990411200 is 211409943892.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5939247 + ... + 9743953.

Almost surely, 2^{29834990411200} is an apocalyptic number.

29834990411200 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 29834990411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41117726662020).

29834990411200 is an abundant number, since it is smaller than the sum of its proper divisors (52400462912840).

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

29834990411200 is a wasteful number, since it uses less digits than its factorization.

29834990411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804784 (or 3804756 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 29834990411200 in words is "twenty-nine trillion, eight hundred thirty-four billion, nine hundred ninety million, four hundred eleven thousand, two hundred".