40449517248 has 168 divisors, whose sum is σ = 126203336112. Its totient is φ = 11398496256.

The previous prime is 40449517193. The next prime is 40449517261. The reversal of 40449517248 is 84271594404.

40449517248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40449517197 and 40449517206.

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, 657336 + ... + 716232.

It is an arithmetic number, because the mean of its divisors is an integer number (751210334).

Almost surely, 2^40449517248 is an apocalyptic number.

40449517248 is a gapful number since it is divisible by the number (48) 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 40449517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63101668056).

40449517248 is an abundant number, since it is smaller than the sum of its proper divisors (85753818864).

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

40449517248 is a wasteful number, since it uses less digits than its factorization.

40449517248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58999 (or 58982 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 40449517248 in words is "forty billion, four hundred forty-nine million, five hundred seventeen thousand, two hundred forty-eight".