40809175680 has 768 divisors, whose sum is σ = 165930629760. Its totient is φ = 8453652480.

The previous prime is 40809175661. The next prime is 40809175721. The reversal of 40809175680 is 8657190804.

It is a super-2 number, since 2×40809175680² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 74605167 + ... + 74605713.

Almost surely, 2^40809175680 is an apocalyptic number.

40809175680 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 40809175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82965314880).

40809175680 is an abundant number, since it is smaller than the sum of its proper divisors (125121454080).

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

40809175680 is a wasteful number, since it uses less digits than its factorization.

40809175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 40809175680 in words is "forty billion, eight hundred nine million, one hundred seventy-five thousand, six hundred eighty".