40448471040 has 520 divisors, whose sum is σ = 149142383280. Its totient is φ = 10478813184.

The previous prime is 40448471039. The next prime is 40448471149. The reversal of 40448471040 is 4017484404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40448470986 and 40448471004.

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, 61378231 + ... + 61378889.

Almost surely, 2^40448471040 is an apocalyptic number.

40448471040 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 40448471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571191640).

40448471040 is an abundant number, since it is smaller than the sum of its proper divisors (108693912240).

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

40448471040 is an equidigital number, since it uses as much as digits as its factorization.

40448471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 40448471040 in words is "forty billion, four hundred forty-eight million, four hundred seventy-one thousand, forty".