11446429775040 has 1120 divisors, whose sum is σ = 45067287234816. Its totient is φ = 2751211008000.

The previous prime is 11446429774957. The next prime is 11446429775063. The reversal of 11446429775040 is 4057792464411.

It is a happy number.

11446429775040 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 42 + 97 + 7 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3520893415 + ... + 3520896665.

Almost surely, 2^{11446429775040} is an apocalyptic number.

11446429775040 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 11446429775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22533643617408).

11446429775040 is an abundant number, since it is smaller than the sum of its proper divisors (33620857459776).

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

11446429775040 is an frugal number, since it uses more digits than its factorization.

11446429775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 11446429775040 in words is "eleven trillion, four hundred forty-six billion, four hundred twenty-nine million, seven hundred seventy-five thousand, forty".