40991288734080 has 512 divisors, whose sum is σ = 152879519232000. Its totient is φ = 10359813758976.

The previous prime is 40991288734069. The next prime is 40991288734169. The reversal of 40991288734080 is 8043788219904.

40991288734080 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 1 + 288 + 7 + 340 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40991288733999 and 40991288734017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42847849 + ... + 43794071.

It is an arithmetic number, because the mean of its divisors is an integer number (298592811000).

Almost surely, 2^{40991288734080} is an apocalyptic number.

40991288734080 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 40991288734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76439759616000).

40991288734080 is an abundant number, since it is smaller than the sum of its proper divisors (111888230497920).

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

40991288734080 is a wasteful number, since it uses less digits than its factorization.

40991288734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946383 (or 946365 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 40991288734080 in words is "forty trillion, nine hundred ninety-one billion, two hundred eighty-eight million, seven hundred thirty-four thousand, eighty".