641142142040100 has 144 divisors (see below), whose sum is σ = 1856799187246080. Its totient is φ = 170808959875200.

The previous prime is 641142142039957. The next prime is 641142142040117. The reversal of 641142142040100 is 1040241241146.

It is a super-2 number, since 2×641142142040100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106158905 + ... + 2106463295.

It is an arithmetic number, because the mean of its divisors is an integer number (12894438800320).

Almost surely, 2^{641142142040100} is an apocalyptic number.

641142142040100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641142142040100 is an abundant number, since it is smaller than the sum of its proper divisors (1215657045205980).

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

641142142040100 is a wasteful number, since it uses less digits than its factorization.

641142142040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311050 (or 311043 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 641142142040100 its reverse (1040241241146), we get a palindrome (642182383281246).

The spelling of 641142142040100 in words is "six hundred forty-one trillion, one hundred forty-two billion, one hundred forty-two million, forty thousand, one hundred".