40509097344 has 96 divisors (see below), whose sum is σ = 117000193440. Its totient is φ = 13453102080.

The previous prime is 40509097339. The next prime is 40509097361. The reversal of 40509097344 is 44379090504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40509097344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247314 + ... + 377070.

It is an arithmetic number, because the mean of its divisors is an integer number (1218752015).

Almost surely, 2^40509097344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40509097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58500096720).

40509097344 is an abundant number, since it is smaller than the sum of its proper divisors (76491096096).

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

40509097344 is a wasteful number, since it uses less digits than its factorization.

40509097344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130048 (or 130033 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 40509097344 in words is "forty billion, five hundred nine million, ninety-seven thousand, three hundred forty-four".