4200402960 has 320 divisors, whose sum is σ = 16403116800. Its totient is φ = 979402752.

The previous prime is 4200402919. The next prime is 4200402961. The reversal of 4200402960 is 692040024.

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

It is not an unprimeable number, because it can be changed into a prime (4200402961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 529584 + ... + 537456.

It is an arithmetic number, because the mean of its divisors is an integer number (51259740).

Almost surely, 2^4200402960 is an apocalyptic number.

4200402960 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 4200402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201558400).

4200402960 is an abundant number, since it is smaller than the sum of its proper divisors (12202713840).

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

4200402960 is a wasteful number, since it uses less digits than its factorization.

4200402960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4200402960 is about 64810.5158134079. The cubic root of 4200402960 is about 1613.4802433591.

Adding to 4200402960 its reverse (692040024), we get a palindrome (4892442984).

The spelling of 4200402960 in words is "four billion, two hundred million, four hundred two thousand, nine hundred sixty".