4145735924 has 48 divisors (see below), whose sum is σ = 8394212736. Its totient is φ = 1772918400.

The previous prime is 4145735917. The next prime is 4145735941. The reversal of 4145735924 is 4295375414.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28154 + ... + 95310.

It is an arithmetic number, because the mean of its divisors is an integer number (174879432).

It is the magic constant of a 2024 × 2024 magic square.

Almost surely, 2^4145735924 is an apocalyptic number.

4145735924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4145735924 is an abundant number, since it is smaller than the sum of its proper divisors (4248476812).

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

4145735924 is a wasteful number, since it uses less digits than its factorization.

4145735924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67256 (or 67254 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 4145735924 is about 64387.3894796178. The cubic root of 4145735924 is about 1606.4499953067.

The spelling of 4145735924 in words is "four billion, one hundred forty-five million, seven hundred thirty-five thousand, nine hundred twenty-four".