4242151440 has 400 divisors, whose sum is σ = 15800832432. Its totient is φ = 1051066368.

The previous prime is 4242151439. The next prime is 4242151471. The reversal of 4242151440 is 441512424.

4242151440 is a `hidden beast` number, since 4 + 2 + 4 + 215 + 1 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80353296 + 4161798144 = 8964^2 + 64512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10685322 + ... + 10685718.

Almost surely, 2^4242151440 is an apocalyptic number.

4242151440 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 4242151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416216).

4242151440 is an abundant number, since it is smaller than the sum of its proper divisors (11558680992).

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

4242151440 is a wasteful number, since it uses less digits than its factorization.

4242151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4242151440 is about 65131.8005278528. The cubic root of 4242151440 is about 1618.8081768967.

Adding to 4242151440 its reverse (441512424), we get a palindrome (4683663864).

The spelling of 4242151440 in words is "four billion, two hundred forty-two million, one hundred fifty-one thousand, four hundred forty".