40340969760 has 768 divisors, whose sum is σ = 162807321600. Its totient is φ = 8169652224.

The previous prime is 40340969743. The next prime is 40340969777. The reversal of 40340969760 is 6796904304.

It is an interprime number because it is at equal distance from previous prime (40340969743) and next prime (40340969777).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176161326 + ... + 176161554.

It is an arithmetic number, because the mean of its divisors is an integer number (211988700).

Almost surely, 2^40340969760 is an apocalyptic number.

40340969760 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 40340969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81403660800).

40340969760 is an abundant number, since it is smaller than the sum of its proper divisors (122466351840).

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

40340969760 is a wasteful number, since it uses less digits than its factorization.

40340969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 40340969760 in words is "forty billion, three hundred forty million, nine hundred sixty-nine thousand, seven hundred sixty".