40399382016 has 960 divisors, whose sum is σ = 151888492800. Its totient is φ = 10534551552.

The previous prime is 40399381991. The next prime is 40399382053. The reversal of 40399382016 is 61028399304.

It is a happy number.

40399382016 is a `hidden beast` number, since 403 + 9 + 9 + 38 + 201 + 6 = 666.

40399382016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40399382016² (a number of 22 digits) contains 22 as substring.

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, 553416156 + ... + 553416228.

It is an arithmetic number, because the mean of its divisors is an integer number (158217180).

Almost surely, 2^40399382016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40399382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75944246400).

40399382016 is an abundant number, since it is smaller than the sum of its proper divisors (111489110784).

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

40399382016 is a wasteful number, since it uses less digits than its factorization.

40399382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 40399382016 in words is "forty billion, three hundred ninety-nine million, three hundred eighty-two thousand, sixteen".