11400054382080 has 3840 divisors, whose sum is σ = 54726172300800. Its totient is φ = 2124498862080.

The previous prime is 11400054382021. The next prime is 11400054382111. The reversal of 11400054382080 is 8028345000411.

11400054382080 is a `hidden beast` number, since 1 + 1 + 400 + 0 + 5 + 43 + 8 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×11400054382080² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 42379384186 + ... + 42379384454.

It is an arithmetic number, because the mean of its divisors is an integer number (14251607370).

Almost surely, 2^{11400054382080} is an apocalyptic number.

11400054382080 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 11400054382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363086150400).

11400054382080 is an abundant number, since it is smaller than the sum of its proper divisors (43326117918720).

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

11400054382080 is a wasteful number, since it uses less digits than its factorization.

11400054382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 11400054382080 its reverse (8028345000411), we get a palindrome (19428399382491).

The spelling of 11400054382080 in words is "eleven trillion, four hundred billion, fifty-four million, three hundred eighty-two thousand, eighty".