4016452920480 has 576 divisors, whose sum is σ = 18402663621888. Its totient is φ = 770388295680.

The previous prime is 4016452920457. The next prime is 4016452920509. The reversal of 4016452920480 is 840292546104.

It is a happy number.

4016452920480 is a `hidden beast` number, since 4 + 0 + 1 + 64 + 529 + 20 + 48 + 0 = 666.

It is a super-2 number, since 2×4016452920480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 48232 + ... + 2834648.

It is an arithmetic number, because the mean of its divisors is an integer number (31949068788).

Almost surely, 2^{4016452920480} is an apocalyptic number.

4016452920480 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 4016452920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201331810944).

4016452920480 is an abundant number, since it is smaller than the sum of its proper divisors (14386210701408).

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

4016452920480 is a wasteful number, since it uses less digits than its factorization.

4016452920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786469 (or 2786458 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4016452920480 in words is "four trillion, sixteen billion, four hundred fifty-two million, nine hundred twenty thousand, four hundred eighty".