4009676400 has 540 divisors, whose sum is σ = 15382880760. Its totient is φ = 964224000.

The previous prime is 4009676353. The next prime is 4009676417. The reversal of 4009676400 is 46769004.

4009676400 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 6 + 7 + 640 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 65732370 + ... + 65732430.

Almost surely, 2^4009676400 is an apocalyptic number.

4009676400 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 4009676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691440380).

4009676400 is an abundant number, since it is smaller than the sum of its proper divisors (11373204360).

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

4009676400 is a wasteful number, since it uses less digits than its factorization.

4009676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4009676400 is about 63322.0056536430. The cubic root of 4009676400 is about 1588.6800484767.

The spelling of 4009676400 in words is "four billion, nine million, six hundred seventy-six thousand, four hundred".