4121322240 has 576 divisors, whose sum is σ = 16529909760. Its totient is φ = 853278720.

The previous prime is 4121322217. The next prime is 4121322251. The reversal of 4121322240 is 422231214.

4121322240 = 136² + 137² + ... + 2312².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13251685 + ... + 13251995.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^4121322240 is an apocalyptic number.

4121322240 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 4121322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264954880).

4121322240 is an abundant number, since it is smaller than the sum of its proper divisors (12408587520).

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

4121322240 is a wasteful number, since it uses less digits than its factorization.

4121322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4121322240 is about 64197.5251859447. The cubic root of 4121322240 is about 1603.2903953397.

Adding to 4121322240 its reverse (422231214), we get a palindrome (4543553454).

The spelling of 4121322240 in words is "four billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred forty".