1141026148080 has 720 divisors, whose sum is σ = 4809970829664. Its totient is φ = 240267202560.

The previous prime is 1141026148057. The next prime is 1141026148081. The reversal of 1141026148080 is 808416201411.

1141026148080 is a `hidden beast` number, since 1 + 1 + 41 + 0 + 2 + 61 + 480 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141026148081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 261881262 + ... + 261885618.

Almost surely, 2^{1141026148080} is an apocalyptic number.

1141026148080 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 1141026148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404985414832).

1141026148080 is an abundant number, since it is smaller than the sum of its proper divisors (3668944681584).

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

1141026148080 is a wasteful number, since it uses less digits than its factorization.

1141026148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1141026148080 in words is "one trillion, one hundred forty-one billion, twenty-six million, one hundred forty-eight thousand, eighty".