40381417440 has 1152 divisors, whose sum is σ = 182722176000. Its totient is φ = 8047226880.

The previous prime is 40381417411. The next prime is 40381417487. The reversal of 40381417440 is 4471418304.

It is a happy number.

40381417440 is a `hidden beast` number, since 40 + 38 + 141 + 7 + 440 = 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 = 40381417395 and 40381417404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121998075 + ... + 121998405.

It is an arithmetic number, because the mean of its divisors is an integer number (158613000).

Almost surely, 2^40381417440 is an apocalyptic number.

40381417440 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 40381417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91361088000).

40381417440 is an abundant number, since it is smaller than the sum of its proper divisors (142340758560).

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

40381417440 is a wasteful number, since it uses less digits than its factorization.

40381417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40381417440 in words is "forty billion, three hundred eighty-one million, four hundred seventeen thousand, four hundred forty".