40486837248 has 528 divisors, whose sum is σ = 141916250112. Its totient is φ = 10948608000.

The previous prime is 40486837241. The next prime is 40486837277. The reversal of 40486837248 is 84273868404.

It is a happy number.

40486837248 is a `hidden beast` number, since 40 + 486 + 83 + 7 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 40486837194 and 40486837203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40486837241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40854033 + ... + 40855023.

Almost surely, 2^40486837248 is an apocalyptic number.

40486837248 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 40486837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958125056).

40486837248 is an abundant number, since it is smaller than the sum of its proper divisors (101429412864).

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

40486837248 is a wasteful number, since it uses less digits than its factorization.

40486837248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 40486837248 in words is "forty billion, four hundred eighty-six million, eight hundred thirty-seven thousand, two hundred forty-eight".