40343834880 has 432 divisors, whose sum is σ = 145368503280. Its totient is φ = 10317791232.

The previous prime is 40343834873. The next prime is 40343834891. The reversal of 40343834880 is 8843834304.

It can be written as a sum of positive squares in 8 ways, for example, as 414203904 + 39929630976 = 20352^2 + 199824^2 .

It is a super-2 number, since 2×40343834880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65813454 + ... + 65814066.

It is an arithmetic number, because the mean of its divisors is an integer number (336501165).

Almost surely, 2^40343834880 is an apocalyptic number.

40343834880 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 40343834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72684251640).

40343834880 is an abundant number, since it is smaller than the sum of its proper divisors (105024668400).

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

40343834880 is a wasteful number, since it uses less digits than its factorization.

40343834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 40343834880 in words is "forty billion, three hundred forty-three million, eight hundred thirty-four thousand, eight hundred eighty".