4016044246320 has 240 divisors, whose sum is σ = 13632870011904. Its totient is φ = 1059398400000.

The previous prime is 4016044246289. The next prime is 4016044246321. The reversal of 4016044246320 is 236424406104.

4016044246320 is a `hidden beast` number, since 4 + 0 + 1 + 604 + 4 + 2 + 46 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4016044246320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4016044246321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83676730 + ... + 83724710.

Almost surely, 2^{4016044246320} is an apocalyptic number.

4016044246320 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 4016044246320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816435005952).

4016044246320 is an abundant number, since it is smaller than the sum of its proper divisors (9616825765584).

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

4016044246320 is a wasteful number, since it uses less digits than its factorization.

4016044246320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49252 (or 49243 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4016044246320 in words is "four trillion, sixteen billion, forty-four million, two hundred forty-six thousand, three hundred twenty".