40026082303680 has 1792 divisors, whose sum is σ = 153811619020800. Its totient is φ = 8710668288000.

The previous prime is 40026082303637. The next prime is 40026082303729. The reversal of 40026082303680 is 8630328062004.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102894812926 + ... + 102894813314.

Almost surely, 2^{40026082303680} is an apocalyptic number.

40026082303680 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 40026082303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76905809510400).

40026082303680 is an abundant number, since it is smaller than the sum of its proper divisors (113785536717120).

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

40026082303680 is a wasteful number, since it uses less digits than its factorization.

40026082303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 40026082303680 in words is "forty trillion, twenty-six billion, eighty-two million, three hundred three thousand, six hundred eighty".