1132401201400 has 288 divisors, whose sum is σ = 3092298910560. Its totient is φ = 384511733760.

The previous prime is 1132401201331. The next prime is 1132401201431. The reversal of 1132401201400 is 41021042311.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 828383517 + ... + 828384883.

It is an arithmetic number, because the mean of its divisors is an integer number (10737148995).

Almost surely, 2^{1132401201400} is an apocalyptic number.

1132401201400 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 1132401201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546149455280).

1132401201400 is an abundant number, since it is smaller than the sum of its proper divisors (1959897709160).

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

1132401201400 is a wasteful number, since it uses less digits than its factorization.

1132401201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1132401201400 its reverse (41021042311), we get a palindrome (1173422243711).

The spelling of 1132401201400 in words is "one trillion, one hundred thirty-two billion, four hundred one million, two hundred one thousand, four hundred".