40092805809408 has 288 divisors, whose sum is σ = 120449134512000. Its totient is φ = 11727536128000.

The previous prime is 40092805809383. The next prime is 40092805809451. The reversal of 40092805809408 is 80490850829004.

It is a super-3 number, since 3×40092805809408³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1138950208 + ... + 1138985408.

It is an arithmetic number, because the mean of its divisors is an integer number (418226161500).

Almost surely, 2^{40092805809408} is an apocalyptic number.

40092805809408 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 40092805809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60224567256000).

40092805809408 is an abundant number, since it is smaller than the sum of its proper divisors (80356328702592).

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

40092805809408 is a wasteful number, since it uses less digits than its factorization.

40092805809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39909 (or 39895 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 40092805809408 in words is "forty trillion, ninety-two billion, eight hundred five million, eight hundred nine thousand, four hundred eight".