40378221360 has 480 divisors, whose sum is σ = 146595408960. Its totient is φ = 10319560704.

The previous prime is 40378221341. The next prime is 40378221361. The reversal of 40378221360 is 6312287304.

It is a happy number.

40378221360 is a `hidden beast` number, since 4 + 0 + 3 + 78 + 221 + 360 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40378221361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52507056 + ... + 52507824.

It is an arithmetic number, because the mean of its divisors is an integer number (305407102).

Almost surely, 2^40378221360 is an apocalyptic number.

40378221360 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 40378221360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73297704480).

40378221360 is an abundant number, since it is smaller than the sum of its proper divisors (106217187600).

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

40378221360 is a wasteful number, since it uses less digits than its factorization.

40378221360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40378221360 in words is "forty billion, three hundred seventy-eight million, two hundred twenty-one thousand, three hundred sixty".