6424771440120 has 128 divisors (see below), whose sum is σ = 21028255776000. Its totient is φ = 1557392122880.

The previous prime is 6424771440071. The next prime is 6424771440221. The reversal of 6424771440120 is 210441774246.

It is a happy number.

It is a super-2 number, since 2×6424771440120² (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 31 ways as a sum of consecutive naturals, for example, 16357396 + ... + 16745564.

It is an arithmetic number, because the mean of its divisors is an integer number (164283248250).

Almost surely, 2^{6424771440120} is an apocalyptic number.

6424771440120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6424771440120 is an abundant number, since it is smaller than the sum of its proper divisors (14603484335880).

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

6424771440120 is a wasteful number, since it uses less digits than its factorization.

6424771440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400733 (or 400729 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 6424771440120 in words is "six trillion, four hundred twenty-four billion, seven hundred seventy-one million, four hundred forty thousand, one hundred twenty".