4066406400 has 624 divisors, whose sum is σ = 16120936448. Its totient is φ = 884736000.

The previous prime is 4066406387. The next prime is 4066406453. The reversal of 4066406400 is 46046604.

It is a super-2 number, since 2×4066406400² = 33071322019921920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 66662370 + ... + 66662430.

Almost surely, 2^4066406400 is an apocalyptic number.

4066406400 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 4066406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060468224).

4066406400 is an abundant number, since it is smaller than the sum of its proper divisors (12054530048).

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

4066406400 is a wasteful number, since it uses less digits than its factorization.

4066406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4066406400 is about 63768.3808795550. The cubic root of 4066406400 is about 1596.1373491258.

The spelling of 4066406400 in words is "four billion, sixty-six million, four hundred six thousand, four hundred".