6424051145460 has 192 divisors, whose sum is σ = 19982410877184. Its totient is φ = 1532166451200.

The previous prime is 6424051145431. The next prime is 6424051145497. The reversal of 6424051145460 is 645411504246.

It is a happy number.

It is a super-2 number, since 2×6424051145460² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180280 + ... + 4195440.

It is an arithmetic number, because the mean of its divisors is an integer number (104075056652).

Almost surely, 2^{6424051145460} is an apocalyptic number.

6424051145460 is a gapful number since it is divisible by the number (60) 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 6424051145460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991205438592).

6424051145460 is an abundant number, since it is smaller than the sum of its proper divisors (13558359731724).

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

6424051145460 is a wasteful number, since it uses less digits than its factorization.

6424051145460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015314 (or 2015312 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 6424051145460 in words is "six trillion, four hundred twenty-four billion, fifty-one million, one hundred forty-five thousand, four hundred sixty".