40727792439888 has 320 divisors, whose sum is σ = 121788481824000. Its totient is φ = 11645348216832.

The previous prime is 40727792439839. The next prime is 40727792439923. The reversal of 40727792439888 is 88893429772704.

It is a Cunningham number, because it is equal to 6381833²-1.

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, 50655808 + ... + 51453536.

It is an arithmetic number, because the mean of its divisors is an integer number (380589005700).

Almost surely, 2^{40727792439888} is an apocalyptic number.

40727792439888 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 40727792439888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60894240912000).

40727792439888 is an abundant number, since it is smaller than the sum of its proper divisors (81060689384112).

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

40727792439888 is a wasteful number, since it uses less digits than its factorization.

40727792439888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797902 (or 797896 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 78.

The spelling of 40727792439888 in words is "forty trillion, seven hundred twenty-seven billion, seven hundred ninety-two million, four hundred thirty-nine thousand, eight hundred eighty-eight".