4009611672000 has 896 divisors, whose sum is σ = 16566154076160. Its totient is φ = 940654080000.

The previous prime is 4009611671993. The next prime is 4009611672037. The reversal of 4009611672000 is 2761169004.

4009611672000 is a `hidden beast` number, since 400 + 96 + 1 + 167 + 2 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73628782 + ... + 73683218.

Almost surely, 2^{4009611672000} is an apocalyptic number.

4009611672000 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 4009611672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283077038080).

4009611672000 is an abundant number, since it is smaller than the sum of its proper divisors (12556542404160).

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

4009611672000 is a wasteful number, since it uses less digits than its factorization.

4009611672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54515 (or 54489 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 4009611672000 in words is "four trillion, nine billion, six hundred eleven million, six hundred seventy-two thousand".