40039970557248 has 336 divisors, whose sum is σ = 117329759426880. Its totient is φ = 13052626329600.

The previous prime is 40039970557243. The next prime is 40039970557331. The reversal of 40039970557248 is 84275507993004.

40039970557248 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 9 + 9 + 70 + 557 + 2 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40039970557241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061674578 + ... + 2061693998.

It is an arithmetic number, because the mean of its divisors is an integer number (349195712580).

Almost surely, 2^{40039970557248} is an apocalyptic number.

40039970557248 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 40039970557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58664879713440).

40039970557248 is an abundant number, since it is smaller than the sum of its proper divisors (77289788869632).

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

40039970557248 is a wasteful number, since it uses less digits than its factorization.

40039970557248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 40039970557248 in words is "forty trillion, thirty-nine billion, nine hundred seventy million, five hundred fifty-seven thousand, two hundred forty-eight".