6411631440 has 80 divisors (see below), whose sum is σ = 19884888000. Its totient is φ = 1709008896.

The previous prime is 6411631433. The next prime is 6411631459. The reversal of 6411631440 is 441361146.

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

It is a super-2 number, since 2×6411631440² = 82218035444792947200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6411631398 and 6411631407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720136 + ... + 728984.

It is an arithmetic number, because the mean of its divisors is an integer number (248561100).

Almost surely, 2^6411631440 is an apocalyptic number.

6411631440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6411631440 is an abundant number, since it is smaller than the sum of its proper divisors (13473256560).

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

6411631440 is a wasteful number, since it uses less digits than its factorization.

6411631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6411631440 is about 80072.6635000985. The cubic root of 6411631440 is about 1857.7596102916.

Adding to 6411631440 its reverse (441361146), we get a palindrome (6852992586).

The spelling of 6411631440 in words is "six billion, four hundred eleven million, six hundred thirty-one thousand, four hundred forty".