4201440978 has 96 divisors (see below), whose sum is σ = 9902365056. Its totient is φ = 1163897856.

The previous prime is 4201440931. The next prime is 4201441019. The reversal of 4201440978 is 8790441024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24285700 + ... + 24285872.

It is an arithmetic number, because the mean of its divisors is an integer number (103149636).

Almost surely, 2^4201440978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201440978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951182528).

4201440978 is an abundant number, since it is smaller than the sum of its proper divisors (5700924078).

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

4201440978 is a wasteful number, since it uses less digits than its factorization.

4201440978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4201440978 is about 64818.5234173072. The cubic root of 4201440978 is about 1613.6131420046.

The spelling of 4201440978 in words is "four billion, two hundred one million, four hundred forty thousand, nine hundred seventy-eight".