40345540992 has 128 divisors (see below), whose sum is σ = 119214336000. Its totient is φ = 13432822272.

The previous prime is 40345540987. The next prime is 40345540993. The reversal of 40345540992 is 29904554304.

40345540992 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 554 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40345540993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169713 + ... + 3182415.

It is an arithmetic number, because the mean of its divisors is an integer number (931362000).

Almost surely, 2^40345540992 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 40345540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59607168000).

40345540992 is an abundant number, since it is smaller than the sum of its proper divisors (78868795008).

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

40345540992 is a wasteful number, since it uses less digits than its factorization.

40345540992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13645 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 40345540992 in words is "forty billion, three hundred forty-five million, five hundred forty thousand, nine hundred ninety-two".