1140301132400 has 120 divisors (see below), whose sum is σ = 2912285883024. Its totient is φ = 427578880000.

The previous prime is 1140301132393. The next prime is 1140301132409. The reversal of 1140301132400 is 42311030411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140301132409) 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, 1372754 + ... + 2040846.

Almost surely, 2^{1140301132400} is an apocalyptic number.

1140301132400 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 1140301132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456142941512).

1140301132400 is an abundant number, since it is smaller than the sum of its proper divisors (1771984750624).

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

1140301132400 is a wasteful number, since it uses less digits than its factorization.

1140301132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668379 (or 668368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1140301132400 its reverse (42311030411), we get a palindrome (1182612162811).

The spelling of 1140301132400 in words is "one trillion, one hundred forty billion, three hundred one million, one hundred thirty-two thousand, four hundred".