10974771444000 has 1152 divisors, whose sum is σ = 44606848366080. Its totient is φ = 2309658624000.

The previous prime is 10974771443981. The next prime is 10974771444011. The reversal of 10974771444000 is 44417747901.

10974771444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7680035286 + ... + 7680036714.

It is an arithmetic number, because the mean of its divisors is an integer number (38721222540).

Almost surely, 2^{10974771444000} is an apocalyptic number.

10974771444000 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 10974771444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22303424183040).

10974771444000 is an abundant number, since it is smaller than the sum of its proper divisors (33632076922080).

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

10974771444000 is a wasteful number, since it uses less digits than its factorization.

10974771444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 10974771444000 in words is "ten trillion, nine hundred seventy-four billion, seven hundred seventy-one million, four hundred forty-four thousand".