40802665135680 has 1792 divisors, whose sum is σ = 169890545664000. Its totient is φ = 9027260669952.

The previous prime is 40802665135627. The next prime is 40802665135697. The reversal of 40802665135680 is 8653156620804.

40802665135680 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 2 + 6 + 65 + 13 + 568 + 0 = 666.

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

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, 81118618309 + ... + 81118618811.

It is an arithmetic number, because the mean of its divisors is an integer number (94804992000).

Almost surely, 2^{40802665135680} is an apocalyptic number.

40802665135680 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 40802665135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84945272832000).

40802665135680 is an abundant number, since it is smaller than the sum of its proper divisors (129087880528320).

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

40802665135680 is a wasteful number, since it uses less digits than its factorization.

40802665135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 40802665135680 in words is "forty trillion, eight hundred two billion, six hundred sixty-five million, one hundred thirty-five thousand, six hundred eighty".