6431241024 has 224 divisors, whose sum is σ = 20669747840. Its totient is φ = 1948852224.

The previous prime is 6431241023. The next prime is 6431241031. The reversal of 6431241024 is 4201421346.

It is a happy number.

6431241024 is a `hidden beast` number, since 643 + 1 + 2 + 4 + 10 + 2 + 4 = 666.

It is a super-2 number, since 2×6431241024² = 82721722217561137152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6431241023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502952 + ... + 1507224.

It is an arithmetic number, because the mean of its divisors is an integer number (92275660).

Almost surely, 2^6431241024 is an apocalyptic number.

6431241024 is a gapful number since it is divisible by the number (64) 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 6431241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334873920).

6431241024 is an abundant number, since it is smaller than the sum of its proper divisors (14238506816).

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

6431241024 is a wasteful number, since it uses less digits than its factorization.

6431241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6431241024 is about 80195.0186981710. The cubic root of 6431241024 is about 1859.6516309061.

The spelling of 6431241024 in words is "six billion, four hundred thirty-one million, two hundred forty-one thousand, twenty-four".