4200040000 has 280 divisors, whose sum is σ = 11547747288. Its totient is φ = 1505280000.

The previous prime is 4200039983. The next prime is 4200040037. The reversal of 4200040000 is 400024.

It can be written as a sum of positive squares in 20 ways, for example, as 4190749696 + 9290304 = 64736^2 + 3048^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21319902 + ... + 21320098.

Almost surely, 2^4200040000 is an apocalyptic number.

4200040000 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 4200040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773873644).

4200040000 is an abundant number, since it is smaller than the sum of its proper divisors (7347707288).

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

4200040000 is a wasteful number, since it uses less digits than its factorization.

4200040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4200040000 is about 64807.7155900438. The cubic root of 4200040000 is about 1613.4337680040.

Adding to 4200040000 its reverse (400024), we get a palindrome (4200440024).

The spelling of 4200040000 in words is "four billion, two hundred million, forty thousand".