4007125666500 has 384 divisors, whose sum is σ = 13495199477760. Its totient is φ = 913138432000.

The previous prime is 4007125666487. The next prime is 4007125666513. The reversal of 4007125666500 is 56665217004.

It is an interprime number because it is at equal distance from previous prime (4007125666487) and next prime (4007125666513).

It is a super-2 number, since 2×4007125666500² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235330987 + ... + 235348013.

It is an arithmetic number, because the mean of its divisors is an integer number (35143748640).

Almost surely, 2^{4007125666500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007125666500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747599738880).

4007125666500 is an abundant number, since it is smaller than the sum of its proper divisors (9488073811260).

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

4007125666500 is a wasteful number, since it uses less digits than its factorization.

4007125666500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17916 (or 17904 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 4007125666500 in words is "four trillion, seven billion, one hundred twenty-five million, six hundred sixty-six thousand, five hundred".