4020465715200 has 1728 divisors, whose sum is σ = 16867761019200. Its totient is φ = 940120473600.

The previous prime is 4020465715193. The next prime is 4020465715219. The reversal of 4020465715200 is 25175640204.

It is a happy number.

4020465715200 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 4 + 65 + 71 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4020465715200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3968869894 + ... + 3968870906.

It is an arithmetic number, because the mean of its divisors is an integer number (9761435775).

Almost surely, 2^{4020465715200} is an apocalyptic number.

4020465715200 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 4020465715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433880509600).

4020465715200 is an abundant number, since it is smaller than the sum of its proper divisors (12847295304000).

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

4020465715200 is a wasteful number, since it uses less digits than its factorization.

4020465715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 4020465715200 in words is "four trillion, twenty billion, four hundred sixty-five million, seven hundred fifteen thousand, two hundred".