40346540960 has 96 divisors (see below), whose sum is σ = 104431384512. Its totient is φ = 14608353280.

The previous prime is 40346540947. The next prime is 40346540987. The reversal of 40346540960 is 6904564304.

40346540960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 360887 + ... + 459273.

It is an arithmetic number, because the mean of its divisors is an integer number (1087826922).

Almost surely, 2^40346540960 is an apocalyptic number.

40346540960 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 40346540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52215692256).

40346540960 is an abundant number, since it is smaller than the sum of its proper divisors (64084843552).

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

40346540960 is a wasteful number, since it uses less digits than its factorization.

40346540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98646 (or 98638 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 40346540960 in words is "forty billion, three hundred forty-six million, five hundred forty thousand, nine hundred sixty".