4141626000 has 80 divisors (see below), whose sum is σ = 13352621568. Its totient is φ = 1104432000.

The previous prime is 4141625993. The next prime is 4141626001. The reversal of 4141626000 is 6261414.

4141626000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4141626001) 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, 339136 + ... + 351135.

Almost surely, 2^4141626000 is an apocalyptic number.

4141626000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141626000 is an abundant number, since it is smaller than the sum of its proper divisors (9210995568).

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

4141626000 is a wasteful number, since it uses less digits than its factorization.

4141626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690297 (or 690281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4141626000 is about 64355.4659683232. The cubic root of 4141626000 is about 1605.9189620958.

Adding to 4141626000 its reverse (6261414), we get a palindrome (4147887414).

The spelling of 4141626000 in words is "four billion, one hundred forty-one million, six hundred twenty-six thousand".