4042122240 has 352 divisors, whose sum is σ = 14394110976. Its totient is φ = 961413120.

The previous prime is 4042122197. The next prime is 4042122257. The reversal of 4042122240 is 422212404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189754 + ... + 6190406.

Almost surely, 2^4042122240 is an apocalyptic number.

4042122240 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 4042122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197055488).

4042122240 is an abundant number, since it is smaller than the sum of its proper divisors (10351988736).

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

4042122240 is a wasteful number, since it uses less digits than its factorization.

4042122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4042122240 is about 63577.6866518435. The cubic root of 4042122240 is about 1592.9536805848.

Adding to 4042122240 its reverse (422212404), we get a palindrome (4464334644).

The spelling of 4042122240 in words is "four billion, forty-two million, one hundred twenty-two thousand, two hundred forty".