40991588352000 has 2688 divisors, whose sum is σ = 180275797578240. Its totient is φ = 9172942848000.

The previous prime is 40991588351983. The next prime is 40991588352023. The reversal of 40991588352000 is 25388519904.

40991588352000 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 1 + 588 + 3 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3153199103994 + ... + 3153199104006.

It is an arithmetic number, because the mean of its divisors is an integer number (67066888980).

Almost surely, 2^{40991588352000} is an apocalyptic number.

40991588352000 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 40991588352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90137898789120).

40991588352000 is an abundant number, since it is smaller than the sum of its proper divisors (139284209226240).

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

40991588352000 is an frugal number, since it uses more digits than its factorization.

40991588352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 40991588352000 in words is "forty trillion, nine hundred ninety-one billion, five hundred eighty-eight million, three hundred fifty-two thousand".