1141042120400 has 240 divisors, whose sum is σ = 3375342964224. Its totient is φ = 360974499840.

The previous prime is 1141042120373. The next prime is 1141042120423. The reversal of 1141042120400 is 40212401411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121680512 + ... + 121689888.

Almost surely, 2^{1141042120400} is an apocalyptic number.

1141042120400 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 1141042120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687671482112).

1141042120400 is an abundant number, since it is smaller than the sum of its proper divisors (2234300843824).

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

1141042120400 is a wasteful number, since it uses less digits than its factorization.

1141042120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1141042120400 its reverse (40212401411), we get a palindrome (1181254521811).

The spelling of 1141042120400 in words is "one trillion, one hundred forty-one billion, forty-two million, one hundred twenty thousand, four hundred".