40988265984000 has 1248 divisors, whose sum is σ = 151953966964800. Its totient is φ = 10622494310400.

The previous prime is 40988265983993. The next prime is 40988265984011. The reversal of 40988265984000 is 48956288904.

40988265984000 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 82 + 65 + 98 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53300735616 + ... + 53300736384.

It is an arithmetic number, because the mean of its divisors is an integer number (121757986350).

Almost surely, 2^{40988265984000} is an apocalyptic number.

40988265984000 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 40988265984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75976983482400).

40988265984000 is an abundant number, since it is smaller than the sum of its proper divisors (110965700980800).

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

40988265984000 is a wasteful number, since it uses less digits than its factorization.

40988265984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 40988265984000 in words is "forty trillion, nine hundred eighty-eight billion, two hundred sixty-five million, nine hundred eighty-four thousand".