40742203582080 has 7680 divisors, whose sum is σ = 217424254924800. Its totient is φ = 6997952102400.

The previous prime is 40742203582063. The next prime is 40742203582109. The reversal of 40742203582080 is 8028530224704.

40742203582080 is a `hidden beast` number, since 4 + 0 + 7 + 42 + 20 + 3 + 582 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 947493106539 + ... + 947493106581.

It is an arithmetic number, because the mean of its divisors is an integer number (28310449860).

Almost surely, 2^{40742203582080} is an apocalyptic number.

40742203582080 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 40742203582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108712127462400).

40742203582080 is an abundant number, since it is smaller than the sum of its proper divisors (176682051342720).

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

40742203582080 is a wasteful number, since it uses less digits than its factorization.

40742203582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 40742203582080 in words is "forty trillion, seven hundred forty-two billion, two hundred three million, five hundred eighty-two thousand, eighty".