4133141040 has 160 divisors (see below), whose sum is σ = 14820051456. Its totient is φ = 933304320.

The previous prime is 4133141017. The next prime is 4133141057. The reversal of 4133141040 is 401413314.

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 = 4133140998 and 4133141016.

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 31 ways as a sum of consecutive naturals, for example, 124620 + ... + 154260.

Almost surely, 2^4133141040 is an apocalyptic number.

4133141040 is a gapful number since it is divisible by the number (40) 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 4133141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410025728).

4133141040 is an abundant number, since it is smaller than the sum of its proper divisors (10686910416).

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

4133141040 is a wasteful number, since it uses less digits than its factorization.

4133141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29747 (or 29741 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4133141040 is about 64289.5095641583. The cubic root of 4133141040 is about 1604.8215288592.

Adding to 4133141040 its reverse (401413314), we get a palindrome (4534554354).

The spelling of 4133141040 in words is "four billion, one hundred thirty-three million, one hundred forty-one thousand, forty".