40365354744 has 384 divisors, whose sum is σ = 137371852800. Its totient is φ = 10518958080.

The previous prime is 40365354739. The next prime is 40365354769. The reversal of 40365354744 is 44745356304.

40365354744 is a `hidden beast` number, since 4 + 0 + 3 + 65 + 3 + 547 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40365354744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18027177 + ... + 18029415.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

Almost surely, 2^40365354744 is an apocalyptic number.

40365354744 is a gapful number since it is divisible by the number (44) 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 40365354744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68685926400).

40365354744 is an abundant number, since it is smaller than the sum of its proper divisors (97006498056).

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

40365354744 is a wasteful number, since it uses less digits than its factorization.

40365354744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 40365354744 in words is "forty billion, three hundred sixty-five million, three hundred fifty-four thousand, seven hundred forty-four".