1141271040 has 640 divisors, whose sum is σ = 4751695872. Its totient is φ = 227082240.

The previous prime is 1141271023. The next prime is 1141271059. The reversal of 1141271040 is 401721411.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1141270998 and 1141271016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16074205 + ... + 16074275.

Almost surely, 2^1141271040 is an apocalyptic number.

1141271040 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 1141271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375847936).

1141271040 is an abundant number, since it is smaller than the sum of its proper divisors (3610424832).

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

1141271040 is a wasteful number, since it uses less digits than its factorization.

1141271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1141271040 is about 33782.7032666126. The cubic root of 1141271040 is about 1045.0320236212.

Adding to 1141271040 its reverse (401721411), we get a palindrome (1542992451).

The spelling of 1141271040 in words is "one billion, one hundred forty-one million, two hundred seventy-one thousand, forty".