4080436345440 has 864 divisors, whose sum is σ = 17440215287040. Its totient is φ = 850525138944.

The previous prime is 4080436345423. The next prime is 4080436345471. The reversal of 4080436345440 is 445436340804.

4080436345440 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 4 + 3 + 634 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141377731 + ... + 141406589.

It is an arithmetic number, because the mean of its divisors is an integer number (20185434360).

Almost surely, 2^{4080436345440} is an apocalyptic number.

4080436345440 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 4080436345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720107643520).

4080436345440 is an abundant number, since it is smaller than the sum of its proper divisors (13359778941600).

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

4080436345440 is a wasteful number, since it uses less digits than its factorization.

4080436345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28996 (or 28972 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 4080436345440 in words is "four trillion, eighty billion, four hundred thirty-six million, three hundred forty-five thousand, four hundred forty".