4152978240 has 224 divisors, whose sum is σ = 13873130496. Its totient is φ = 1051115520.

The previous prime is 4152978223. The next prime is 4152978241. The reversal of 4152978240 is 428792514.

4152978240 = 3826² + 3827² + ... + 4090².

4152978240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4152978192 and 4152978201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152978241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575964 + ... + 1578596.

Almost surely, 2^4152978240 is an apocalyptic number.

4152978240 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 4152978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936565248).

4152978240 is an abundant number, since it is smaller than the sum of its proper divisors (9720152256).

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

4152978240 is a wasteful number, since it uses less digits than its factorization.

4152978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 4152978240 is about 64443.6051133082. The cubic root of 4152978240 is about 1607.3849037235.

The spelling of 4152978240 in words is "four billion, one hundred fifty-two million, nine hundred seventy-eight thousand, two hundred forty".