29800742400000 has 3744 divisors, whose sum is σ = 133041993267456. Its totient is φ = 6569164800000.

The previous prime is 29800742399959. The next prime is 29800742400041. The reversal of 29800742400000 is 424700892.

It is an interprime number because it is at equal distance from previous prime (29800742399959) and next prime (29800742400041).

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 444787199967 + ... + 444787200033.

It is an arithmetic number, because the mean of its divisors is an integer number (35534720424).

Almost surely, 2^{29800742400000} is an apocalyptic number.

29800742400000 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 29800742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66520996633728).

29800742400000 is an abundant number, since it is smaller than the sum of its proper divisors (103241250867456).

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

29800742400000 is an frugal number, since it uses more digits than its factorization.

29800742400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 29800742400000 in words is "twenty-nine trillion, eight hundred billion, seven hundred forty-two million, four hundred thousand".