40831872480 has 864 divisors, whose sum is σ = 172245528000. Its totient is φ = 8803178496.

The previous prime is 40831872451. The next prime is 40831872481. The reversal of 40831872480 is 8427813804.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40831872481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178305006 + ... + 178305234.

It is an arithmetic number, because the mean of its divisors is an integer number (199358250).

Almost surely, 2^40831872480 is an apocalyptic number.

40831872480 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 40831872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86122764000).

40831872480 is an abundant number, since it is smaller than the sum of its proper divisors (131413655520).

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

40831872480 is a wasteful number, since it uses less digits than its factorization.

40831872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 40831872480 in words is "forty billion, eight hundred thirty-one million, eight hundred seventy-two thousand, four hundred eighty".