1141742448 has 480 divisors, whose sum is σ = 4304581632. Its totient is φ = 275996160.

The previous prime is 1141742447. The next prime is 1141742467. The reversal of 1141742448 is 8442471411.

1141742448 is a `hidden beast` number, since 1 + 141 + 74 + 2 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141742447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30857886 + ... + 30857922.

Almost surely, 2^1141742448 is an apocalyptic number.

1141742448 is a gapful number since it is divisible by the number (18) 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 1141742448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152290816).

1141742448 is an abundant number, since it is smaller than the sum of its proper divisors (3162839184).

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

1141742448 is a wasteful number, since it uses less digits than its factorization.

1141742448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 1141742448 is about 33789.6796078329. The cubic root of 1141742448 is about 1045.1758891378.

The spelling of 1141742448 in words is "one billion, one hundred forty-one million, seven hundred forty-two thousand, four hundred forty-eight".