4001744190096 has 45 divisors (see below), whose sum is σ = 11199392935939. Its totient is φ = 1333906728288.

The previous prime is 4001744190089. The next prime is 4001744190137. The reversal of 4001744190096 is 6900914471004.

The square root of 4001744190096 is 2000436.

It is a perfect power (a square), and thus also a powerful number.

4001744190096 is a `hidden beast` number, since 400 + 1 + 74 + 4 + 1 + 90 + 0 + 96 = 666.

4001744190096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23921881 + ... + 24088583.

Almost surely, 2^{4001744190096} is an apocalyptic number.

4001744190096 is the 2000436-th square number.

It is an amenable number.

4001744190096 is an abundant number, since it is smaller than the sum of its proper divisors (7197648745843).

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

4001744190096 is an frugal number, since it uses more digits than its factorization.

4001744190096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333420 (or 166708 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4001744190096 in words is "four trillion, one billion, seven hundred forty-four million, one hundred ninety thousand, ninety-six".