40345165040 has 80 divisors (see below), whose sum is σ = 94339140480. Its totient is φ = 16045946880.

The previous prime is 40345165013. The next prime is 40345165127. The reversal of 40345165040 is 4056154304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40345164988 and 40345165006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27131177 + ... + 27132663.

It is an arithmetic number, because the mean of its divisors is an integer number (1179239256).

Almost surely, 2^40345165040 is an apocalyptic number.

40345165040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40345165040 is an abundant number, since it is smaller than the sum of its proper divisors (53993975440).

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

40345165040 is a wasteful number, since it uses less digits than its factorization.

40345165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 40345165040 in words is "forty billion, three hundred forty-five million, one hundred sixty-five thousand, forty".