40204861440 has 256 divisors, whose sum is σ = 129721551840. Its totient is φ = 10632560640.

The previous prime is 40204861393. The next prime is 40204861447. The reversal of 40204861440 is 4416840204.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40204861447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77168380 + ... + 77168900.

Almost surely, 2^40204861440 is an apocalyptic number.

40204861440 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 40204861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64860775920).

40204861440 is an abundant number, since it is smaller than the sum of its proper divisors (89516690400).

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

40204861440 is an equidigital number, since it uses as much as digits as its factorization.

40204861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 40204861440 in words is "forty billion, two hundred four million, eight hundred sixty-one thousand, four hundred forty".