1149141120400 has 1215 divisors, whose sum is σ = 3792482253603. Its totient is φ = 333428659200.

The previous prime is 1149141120397. The next prime is 1149141120427. The reversal of 1149141120400 is 40211419411.

The square root of 1149141120400 is 1071980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 296192823696 + 852948296704 = 544236^2 + 923552^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 37069068385 + ... + 37069068415.

Almost surely, 2^{1149141120400} is an apocalyptic number.

1149141120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1149141120400 is the 1071980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149141120400

1149141120400 is an abundant number, since it is smaller than the sum of its proper divisors (2643341133203).

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

1149141120400 is a wasteful number, since it uses less digits than its factorization.

1149141120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 1149141120400 its reverse (40211419411), we get a palindrome (1189352539811).

The spelling of 1149141120400 in words is "one trillion, one hundred forty-nine billion, one hundred forty-one million, one hundred twenty thousand, four hundred".