4090407867600 has 240 divisors, whose sum is σ = 13150950725760. Its totient is φ = 1086786201600.

The previous prime is 4090407867589. The next prime is 4090407867641. The reversal of 4090407867600 is 67687040904.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 386283106 + ... + 386293694.

It is an arithmetic number, because the mean of its divisors is an integer number (54795628024).

Almost surely, 2^{4090407867600} is an apocalyptic number.

4090407867600 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 4090407867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575475362880).

4090407867600 is an abundant number, since it is smaller than the sum of its proper divisors (9060542858160).

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

4090407867600 is a wasteful number, since it uses less digits than its factorization.

4090407867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758 (or 11747 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 4090407867600 in words is "four trillion, ninety billion, four hundred seven million, eight hundred sixty-seven thousand, six hundred".