40382381000 has 96 divisors (see below), whose sum is σ = 102323169000. Its totient is φ = 14910355200.

The previous prime is 40382380999. The next prime is 40382381003. The reversal of 40382381000 is 18328304.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 24168433444 + 16213947556 = 155462^2 + 127334^2 .

It is a super-2 number, since 2×40382381000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40382381003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49526 + ... + 288474.

Almost surely, 2^40382381000 is an apocalyptic number.

40382381000 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 40382381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51161584500).

40382381000 is an abundant number, since it is smaller than the sum of its proper divisors (61940788000).

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

40382381000 is a wasteful number, since it uses less digits than its factorization.

40382381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238996 (or 238969 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 40382381000 in words is "forty billion, three hundred eighty-two million, three hundred eighty-one thousand".