11429074148800 has 504 divisors, whose sum is σ = 36447583419648. Its totient is φ = 3486502656000.

The previous prime is 11429074148777. The next prime is 11429074148819. The reversal of 11429074148800 is 884147092411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40391815 + ... + 40673785.

Almost surely, 2^{11429074148800} is an apocalyptic number.

11429074148800 is a gapful number since it is divisible by the number (10) 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 11429074148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223791709824).

11429074148800 is an abundant number, since it is smaller than the sum of its proper divisors (25018509270848).

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

11429074148800 is a wasteful number, since it uses less digits than its factorization.

11429074148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282065 (or 282043 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 11429074148800 in words is "eleven trillion, four hundred twenty-nine billion, seventy-four million, one hundred forty-eight thousand, eight hundred".