4185903950976 has 128 divisors (see below), whose sum is σ = 12145556404800. Its totient is φ = 1266787942400.

The previous prime is 4185903950971. The next prime is 4185903951013. The reversal of 4185903950976 is 6790593095814.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4185903950976² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (4185903950971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2563360 + ... + 3865568.

Almost surely, 2^{4185903950976} 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 4185903950976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072778202400).

4185903950976 is an abundant number, since it is smaller than the sum of its proper divisors (7959652453824).

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

4185903950976 is a wasteful number, since it uses less digits than its factorization.

4185903950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302998 (or 1302986 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 4185903950976 in words is "four trillion, one hundred eighty-five billion, nine hundred three million, nine hundred fifty thousand, nine hundred seventy-six".