4016124642320 has 160 divisors (see below), whose sum is σ = 10800522222336. Its totient is φ = 1360357632000.

The previous prime is 4016124642311. The next prime is 4016124642359. The reversal of 4016124642320 is 232464216104.

It is a super-2 number, since 2×4016124642320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25997147 + ... + 26151173.

Almost surely, 2^{4016124642320} is an apocalyptic number.

4016124642320 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 4016124642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400261111168).

4016124642320 is an abundant number, since it is smaller than the sum of its proper divisors (6784397580016).

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

4016124642320 is a wasteful number, since it uses less digits than its factorization.

4016124642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154609 (or 154603 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 4016124642320 its reverse (232464216104), we get a palindrome (4248588858424).

The spelling of 4016124642320 in words is "four trillion, sixteen billion, one hundred twenty-four million, six hundred forty-two thousand, three hundred twenty".