40448701440 has 264 divisors, whose sum is σ = 160176931200. Its totient is φ = 9245343744.

The previous prime is 40448701427. The next prime is 40448701547. The reversal of 40448701440 is 4410784404.

40448701440 is a `hidden beast` number, since 4 + 0 + 448 + 70 + 144 + 0 = 666.

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 = 40448701395 and 40448701404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259861 + ... + 385259.

It is an arithmetic number, because the mean of its divisors is an integer number (606730800).

Almost surely, 2^40448701440 is an apocalyptic number.

40448701440 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 40448701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80088465600).

40448701440 is an abundant number, since it is smaller than the sum of its proper divisors (119728229760).

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

40448701440 is a wasteful number, since it uses less digits than its factorization.

40448701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125437 (or 125416 counting only the distinct ones).

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

The spelling of 40448701440 in words is "forty billion, four hundred forty-eight million, seven hundred one thousand, four hundred forty".