40248982984896 has 672 divisors, whose sum is σ = 138471995750400. Its totient is φ = 10928564748288.

The previous prime is 40248982984849. The next prime is 40248982984921. The reversal of 40248982984896 is 69848928984204.

40248982984896 is a `hidden beast` number, since 4 + 0 + 2 + 48 + 9 + 8 + 2 + 98 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18694370956 + ... + 18694373108.

Almost surely, 2^{40248982984896} is an apocalyptic number.

40248982984896 is a gapful number since it is divisible by the number (46) 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 40248982984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69235997875200).

40248982984896 is an abundant number, since it is smaller than the sum of its proper divisors (98223012765504).

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

40248982984896 is a wasteful number, since it uses less digits than its factorization.

40248982984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 4586471424, while the sum is 81.

The spelling of 40248982984896 in words is "forty trillion, two hundred forty-eight billion, nine hundred eighty-two million, nine hundred eighty-four thousand, eight hundred ninety-six".