40205131440 has 40 divisors (see below), whose sum is σ = 124635908208. Its totient is φ = 10721368320.

The previous prime is 40205131433. The next prime is 40205131441. The reversal of 40205131440 is 4413150204.

40205131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40205131440.

It is not an unprimeable number, because it can be changed into a prime (40205131441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83760451 + ... + 83760930.

Almost surely, 2^40205131440 is an apocalyptic number.

40205131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40205131440 is an abundant number, since it is smaller than the sum of its proper divisors (84430776768).

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

40205131440 is a wasteful number, since it uses less digits than its factorization.

40205131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167521397 (or 167521391 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40205131440 its reverse (4413150204), we get a palindrome (44618281644).

The spelling of 40205131440 in words is "forty billion, two hundred five million, one hundred thirty-one thousand, four hundred forty".