4007125666501 has 8 divisors (see below), whose sum is σ = 4035045924000. Its totient is φ = 3979219099920.

The previous prime is 4007125666487. The next prime is 4007125666513. The reversal of 4007125666501 is 1056665217004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4007125666501 - 2⁷ = 4007125666373 is a prime.

It is a super-2 number, since 2×4007125666501² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007125666571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2834971 + ... + 4006408.

It is an arithmetic number, because the mean of its divisors is an integer number (504380740500).

Almost surely, 2^{4007125666501} is an apocalyptic number.

It is an amenable number.

4007125666501 is a deficient number, since it is larger than the sum of its proper divisors (27920257499).

4007125666501 is a wasteful number, since it uses less digits than its factorization.

4007125666501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845459.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 4007125666501 in words is "four trillion, seven billion, one hundred twenty-five million, six hundred sixty-six thousand, five hundred one".