40242798385020 has 720 divisors, whose sum is σ = 158664229194240. Its totient is φ = 8358038472960.

The previous prime is 40242798384989. The next prime is 40242798385081. The reversal of 40242798385020 is 2058389724204.

40242798385020 is a `hidden beast` number, since 4 + 0 + 2 + 42 + 7 + 98 + 3 + 8 + 502 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3374086297 + ... + 3374098223.

It is an arithmetic number, because the mean of its divisors is an integer number (220366984992).

Almost surely, 2^{40242798385020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40242798385020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79332114597120).

40242798385020 is an abundant number, since it is smaller than the sum of its proper divisors (118421430809220).

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

40242798385020 is a wasteful number, since it uses less digits than its factorization.

40242798385020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14436 (or 14414 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40242798385020 in words is "forty trillion, two hundred forty-two billion, seven hundred ninety-eight million, three hundred eighty-five thousand, twenty".