11400073776 has 240 divisors, whose sum is σ = 39354981120. Its totient is φ = 2999877120.

The previous prime is 11400073771. The next prime is 11400073781. The reversal of 11400073776 is 67737000411.

It is an interprime number because it is at equal distance from previous prime (11400073771) and next prime (11400073781).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11400073776.

It is not an unprimeable number, because it can be changed into a prime (11400073771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9054235 + ... + 9055493.

It is an arithmetic number, because the mean of its divisors is an integer number (163979088).

Almost surely, 2^11400073776 is an apocalyptic number.

11400073776 is a gapful number since it is divisible by the number (16) 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 11400073776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677490560).

11400073776 is an abundant number, since it is smaller than the sum of its proper divisors (27954907344).

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

11400073776 is a wasteful number, since it uses less digits than its factorization.

11400073776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 11400073776 in words is "eleven billion, four hundred million, seventy-three thousand, seven hundred seventy-six".