4133120640 has 128 divisors (see below), whose sum is σ = 14372061120. Its totient is φ = 1001963520.

The previous prime is 4133120633. The next prime is 4133120653. The reversal of 4133120640 is 460213314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4133120640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76729 + ... + 118968.

Almost surely, 2^4133120640 is an apocalyptic number.

4133120640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133120640 is an abundant number, since it is smaller than the sum of its proper divisors (10238940480).

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

4133120640 is a wasteful number, since it uses less digits than its factorization.

4133120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195730 (or 195718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4133120640 is about 64289.3509066626. The cubic root of 4133120640 is about 1604.8188885418.

Adding to 4133120640 its reverse (460213314), we get a palindrome (4593333954).

The spelling of 4133120640 in words is "four billion, one hundred thirty-three million, one hundred twenty thousand, six hundred forty".