11441377640448 has 920 divisors, whose sum is σ = 41510317096512. Its totient is φ = 3065801342976.

The previous prime is 11441377640419. The next prime is 11441377640453. The reversal of 11441377640448 is 84404677314411.

11441377640448 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 137 + 7 + 64 + 0 + 448 = 666.

It is a super-2 number, since 2×11441377640448² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11441377640394 and 11441377640403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40428896115 + ... + 40428896397.

Almost surely, 2^{11441377640448} is an apocalyptic number.

11441377640448 is a gapful number since it is divisible by the number (18) 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 11441377640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755158548256).

11441377640448 is an abundant number, since it is smaller than the sum of its proper divisors (30068939456064).

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

11441377640448 is an frugal number, since it uses more digits than its factorization.

11441377640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 11441377640448 in words is "eleven trillion, four hundred forty-one billion, three hundred seventy-seven million, six hundred forty thousand, four hundred forty-eight".