4212458166400 has 384 divisors, whose sum is σ = 11427592962240. Its totient is φ = 1521657446400.

The previous prime is 4212458166391. The next prime is 4212458166461. The reversal of 4212458166400 is 46618542124.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4770620359 + ... + 4770621241.

Almost surely, 2^{4212458166400} is an apocalyptic number.

4212458166400 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 4212458166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713796481120).

4212458166400 is an abundant number, since it is smaller than the sum of its proper divisors (7215134795840).

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

4212458166400 is a wasteful number, since it uses less digits than its factorization.

4212458166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 4212458166400 in words is "four trillion, two hundred twelve billion, four hundred fifty-eight million, one hundred sixty-six thousand, four hundred".