1141638750 has 360 divisors, whose sum is σ = 3819558600. Its totient is φ = 244944000.

The previous prime is 1141638739. The next prime is 1141638763. The reversal of 1141638750 is 578361411.

1141638750 is a `hidden beast` number, since 1 + 14 + 1 + 638 + 7 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10473696 + ... + 10473804.

It is an arithmetic number, because the mean of its divisors is an integer number (10609885).

Almost surely, 2^1141638750 is an apocalyptic number.

1141638750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141638750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909779300).

1141638750 is an abundant number, since it is smaller than the sum of its proper divisors (2677919850).

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

1141638750 is a wasteful number, since it uses less digits than its factorization.

1141638750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1141638750 is about 33788.1451103786. The cubic root of 1141638750 is about 1045.1442457110.

The spelling of 1141638750 in words is "one billion, one hundred forty-one million, six hundred thirty-eight thousand, seven hundred fifty".