4477986240 has 336 divisors, whose sum is σ = 17599200768. Its totient is φ = 944566272.

The previous prime is 4477986229. The next prime is 4477986277. The reversal of 4477986240 is 426897744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1133709 + ... + 1137651.

Almost surely, 2^4477986240 is an apocalyptic number.

4477986240 is a gapful number since it is divisible by the number (40) 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 4477986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799600384).

4477986240 is an abundant number, since it is smaller than the sum of its proper divisors (13121214528).

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

4477986240 is a wasteful number, since it uses less digits than its factorization.

4477986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 4477986240 is about 66917.7572845952. The cubic root of 4477986240 is about 1648.2670805394.

The spelling of 4477986240 in words is "four billion, four hundred seventy-seven million, nine hundred eighty-six thousand, two hundred forty".