4146206400 has 336 divisors, whose sum is σ = 17274926080. Its totient is φ = 947635200.

The previous prime is 4146206399. The next prime is 4146206411. The reversal of 4146206400 is 46026414.

4146206400 is a `hidden beast` number, since 4 + 14 + 6 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4146206400² = 34382055022801920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 295545 + ... + 309255.

Almost surely, 2^4146206400 is an apocalyptic number.

4146206400 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 4146206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637463040).

4146206400 is an abundant number, since it is smaller than the sum of its proper divisors (13128719680).

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

4146206400 is a wasteful number, since it uses less digits than its factorization.

4146206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13749 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4146206400 is about 64391.0428553537. The cubic root of 4146206400 is about 1606.5107619669.

The spelling of 4146206400 in words is "four billion, one hundred forty-six million, two hundred six thousand, four hundred".