11878224390400 has 243 divisors, whose sum is σ = 29892312349641. Its totient is φ = 4673096017920.

The previous prime is 11878224390371. The next prime is 11878224390401. The reversal of 11878224390400 is 409342287811.

The square root of 11878224390400 is 3446480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4276160780544 + 7602063609856 = 2067888^2 + 2757184^2 .

It is a super-3 number, since 3×11878224390400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11878224390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18473132479 + ... + 18473133121.

Almost surely, 2^{11878224390400} is an apocalyptic number.

11878224390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11878224390400 is the 3446480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11878224390400

11878224390400 is an abundant number, since it is smaller than the sum of its proper divisors (18014087959241).

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

11878224390400 is an frugal number, since it uses more digits than its factorization.

11878224390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 11878224390400 by its sum of digits (49), we get a square (582032995129600 = 24125360²).

The spelling of 11878224390400 in words is "eleven trillion, eight hundred seventy-eight billion, two hundred twenty-four million, three hundred ninety thousand, four hundred".