40497589440 has 1120 divisors, whose sum is σ = 182267864064. Its totient is φ = 8291082240.

The previous prime is 40497589423. The next prime is 40497589441. The reversal of 40497589440 is 4498579404.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40497589441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 205571422 + ... + 205571618.

Almost surely, 2^40497589440 is an apocalyptic number.

40497589440 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 40497589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91133932032).

40497589440 is an abundant number, since it is smaller than the sum of its proper divisors (141770274624).

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

40497589440 is a wasteful number, since it uses less digits than its factorization.

40497589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40497589440 in words is "forty billion, four hundred ninety-seven million, five hundred eighty-nine thousand, four hundred forty".