11940143904 has 480 divisors, whose sum is σ = 39727051056. Its totient is φ = 3493601280.

The previous prime is 11940143863. The next prime is 11940143921. The reversal of 11940143904 is 40934104911.

It can be written as a sum of positive squares in 8 ways, for example, as 1888076304 + 10052067600 = 43452^2 + 100260^2 .

It is a super-2 number, since 2×11940143904² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76051794 + ... + 76051950.

Almost surely, 2^11940143904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11940143904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863525528).

11940143904 is an abundant number, since it is smaller than the sum of its proper divisors (27786907152).

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

11940143904 is a wasteful number, since it uses less digits than its factorization.

11940143904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11940143904 in words is "eleven billion, nine hundred forty million, one hundred forty-three thousand, nine hundred four".