11428027041600 has 3360 divisors, whose sum is σ = 50492730258432. Its totient is φ = 2508226560000.

The previous prime is 11428027041523. The next prime is 11428027041619. The reversal of 11428027041600 is 614072082411.

It is a happy number.

11428027041600 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 0 + 2 + 7 + 0 + 41 + 600 = 666.

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 479 ways as a sum of consecutive naturals, for example, 54161265495 + ... + 54161265705.

Almost surely, 2^{11428027041600} is an apocalyptic number.

11428027041600 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 11428027041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246365129216).

11428027041600 is an abundant number, since it is smaller than the sum of its proper divisors (39064703216832).

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

11428027041600 is a wasteful number, since it uses less digits than its factorization.

11428027041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11428027041600 in words is "eleven trillion, four hundred twenty-eight billion, twenty-seven million, forty-one thousand, six hundred".