4015720212816 has 240 divisors, whose sum is σ = 12411252521856. Its totient is φ = 1112360730624.

The previous prime is 4015720212787. The next prime is 4015720212851. The reversal of 4015720212816 is 6182120275104.

It is a super-2 number, since 2×4015720212816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538756 + ... + 3804828.

Almost surely, 2^{4015720212816} is an apocalyptic number.

4015720212816 is a gapful number since it is divisible by the number (46) 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 4015720212816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205626260928).

4015720212816 is an abundant number, since it is smaller than the sum of its proper divisors (8395532309040).

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

4015720212816 is a wasteful number, since it uses less digits than its factorization.

4015720212816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266150 (or 1266131 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 4015720212816 in words is "four trillion, fifteen billion, seven hundred twenty million, two hundred twelve thousand, eight hundred sixteen".