641124611232 has 192 divisors, whose sum is σ = 2010555187200. Its totient is φ = 175025111040.

The previous prime is 641124611219. The next prime is 641124611249. The reversal of 641124611232 is 232116421146.

It is a happy number.

It is a super-2 number, since 2×641124611232² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 641124611193 and 641124611202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450944 + ... + 1840512.

It is an arithmetic number, because the mean of its divisors is an integer number (10471641600).

Almost surely, 2^641124611232 is an apocalyptic number.

641124611232 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641124611232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005277593600).

641124611232 is an abundant number, since it is smaller than the sum of its proper divisors (1369430575968).

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

641124611232 is a wasteful number, since it uses less digits than its factorization.

641124611232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389699 (or 389691 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The spelling of 641124611232 in words is "six hundred forty-one billion, one hundred twenty-four million, six hundred eleven thousand, two hundred thirty-two".