1139444166400 has 216 divisors, whose sum is σ = 2970686808320. Its totient is φ = 431506206720.

The previous prime is 1139444166373. The next prime is 1139444166403. The reversal of 1139444166400 is 46614449311.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139444166403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340843129 + ... + 340846471.

Almost surely, 2^{1139444166400} is an apocalyptic number.

1139444166400 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 1139444166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485343404160).

1139444166400 is an abundant number, since it is smaller than the sum of its proper divisors (1831242641920).

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

1139444166400 is a wasteful number, since it uses less digits than its factorization.

1139444166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 1139444166400 in words is "one trillion, one hundred thirty-nine billion, four hundred forty-four million, one hundred sixty-six thousand, four hundred".