4216058078400 has 1008 divisors, whose sum is σ = 18819477321600. Its totient is φ = 912942213120.

The previous prime is 4216058078357. The next prime is 4216058078411. The reversal of 4216058078400 is 48708506124.

4216058078400 is a `hidden beast` number, since 4 + 2 + 1 + 60 + 580 + 7 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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, 40166787 + ... + 40271613.

Almost surely, 2^{4216058078400} is an apocalyptic number.

4216058078400 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 4216058078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409738660800).

4216058078400 is an abundant number, since it is smaller than the sum of its proper divisors (14603419243200).

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

4216058078400 is a wasteful number, since it uses less digits than its factorization.

4216058078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104891 (or 104863 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4216058078400 in words is "four trillion, two hundred sixteen billion, fifty-eight million, seventy-eight thousand, four hundred".