40032380442240 has 1280 divisors, whose sum is σ = 153498208343040. Its totient is φ = 9924216422400.

The previous prime is 40032380442203. The next prime is 40032380442251. The reversal of 40032380442240 is 4224408323004.

40032380442240 is a `hidden beast` number, since 4 + 0 + 0 + 32 + 380 + 4 + 4 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40032380442195 and 40032380442204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4215261172 + ... + 4215270668.

It is an arithmetic number, because the mean of its divisors is an integer number (119920475268).

Almost surely, 2^{40032380442240} is an apocalyptic number.

40032380442240 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 40032380442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76749104171520).

40032380442240 is an abundant number, since it is smaller than the sum of its proper divisors (113465827900800).

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

40032380442240 is a wasteful number, since it uses less digits than its factorization.

40032380442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40032380442240 its reverse (4224408323004), we get a palindrome (44256788765244).

The spelling of 40032380442240 in words is "forty trillion, thirty-two billion, three hundred eighty million, four hundred forty-two thousand, two hundred forty".