40342018302720 has 2592 divisors, whose sum is σ = 161392528926720. Its totient is φ = 9257169715200.

The previous prime is 40342018302713. The next prime is 40342018302749. The reversal of 40342018302720 is 2720381024304.

It is a happy number.

40342018302720 is a `hidden beast` number, since 4 + 0 + 342 + 0 + 1 + 8 + 302 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 602119676127 + ... + 602119676193.

It is an arithmetic number, because the mean of its divisors is an integer number (62265636160).

Almost surely, 2^{40342018302720} is an apocalyptic number.

40342018302720 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 40342018302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80696264463360).

40342018302720 is an abundant number, since it is smaller than the sum of its proper divisors (121050510624000).

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

40342018302720 is a wasteful number, since it uses less digits than its factorization.

40342018302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40342018302720 in words is "forty trillion, three hundred forty-two billion, eighteen million, three hundred two thousand, seven hundred twenty".