4202487720 has 288 divisors, whose sum is σ = 14988280320. Its totient is φ = 1019934720.

The previous prime is 4202487691. The next prime is 4202487721. The reversal of 4202487720 is 277842024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4202487721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3224589 + ... + 3225891.

It is an arithmetic number, because the mean of its divisors is an integer number (52042640).

Almost surely, 2^4202487720 is an apocalyptic number.

4202487720 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 4202487720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494140160).

4202487720 is an abundant number, since it is smaller than the sum of its proper divisors (10785792600).

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

4202487720 is a wasteful number, since it uses less digits than its factorization.

4202487720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4202487720 is about 64826.5973193102. The cubic root of 4202487720 is about 1613.7471354296.

The spelling of 4202487720 in words is "four billion, two hundred two million, four hundred eighty-seven thousand, seven hundred twenty".