4251978738 has 128 divisors (see below), whose sum is σ = 10990080000. Its totient is φ = 1193512320.

The previous prime is 4251978737. The next prime is 4251978769. The reversal of 4251978738 is 8378791524.

It is a happy number.

4251978738 is a `hidden beast` number, since 42 + 519 + 7 + 87 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4251978737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7098163 + ... + 7098761.

It is an arithmetic number, because the mean of its divisors is an integer number (85860000).

Almost surely, 2^4251978738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4251978738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495040000).

4251978738 is an abundant number, since it is smaller than the sum of its proper divisors (6738101262).

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

4251978738 is a wasteful number, since it uses less digits than its factorization.

4251978738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 4251978738 is about 65207.1985136611. The cubic root of 4251978738 is about 1620.0572476340.

The spelling of 4251978738 in words is "four billion, two hundred fifty-one million, nine hundred seventy-eight thousand, seven hundred thirty-eight".