40349871360 has 360 divisors, whose sum is σ = 151985544480. Its totient is φ = 10193154048.

The previous prime is 40349871319. The next prime is 40349871383. The reversal of 40349871360 is 6317894304.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×40349871360² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1959679 + ... + 1980161.

It is an arithmetic number, because the mean of its divisors is an integer number (422182068).

Almost surely, 2^40349871360 is an apocalyptic number.

40349871360 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 40349871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75992772240).

40349871360 is an abundant number, since it is smaller than the sum of its proper divisors (111635673120).

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

40349871360 is a wasteful number, since it uses less digits than its factorization.

40349871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20535 (or 20512 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40349871360 in words is "forty billion, three hundred forty-nine million, eight hundred seventy-one thousand, three hundred sixty".