4005251453664 has 96 divisors (see below), whose sum is σ = 11759347918080. Its totient is φ = 1326242160000.

The previous prime is 4005251453657. The next prime is 4005251453761. The reversal of 4005251453664 is 4663541525004.

4005251453664 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 2 + 51 + 4 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 15219562 + ... + 15480489.

It is an arithmetic number, because the mean of its divisors is an integer number (122493207480).

Almost surely, 2^{4005251453664} is an apocalyptic number.

It is an amenable number.

4005251453664 is an abundant number, since it is smaller than the sum of its proper divisors (7754096464416).

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

4005251453664 is a wasteful number, since it uses less digits than its factorization.

4005251453664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30700221 (or 30700207 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 4005251453664 its reverse (4663541525004), we get a palindrome (8668792978668).

The spelling of 4005251453664 in words is "four trillion, five billion, two hundred fifty-one million, four hundred fifty-three thousand, six hundred sixty-four".