40395979800 has 1152 divisors, whose sum is σ = 167201798400. Its totient is φ = 8957952000.

The previous prime is 40395979783. The next prime is 40395979817. The reversal of 40395979800 is 897959304.

40395979800 is a `hidden beast` number, since 40 + 3 + 9 + 597 + 9 + 8 + 0 + 0 = 666.

40395979800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40395979783) and next prime (40395979817).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 416453352 + ... + 416453448.

It is an arithmetic number, because the mean of its divisors is an integer number (145140450).

Almost surely, 2^40395979800 is an apocalyptic number.

40395979800 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 40395979800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83600899200).

40395979800 is an abundant number, since it is smaller than the sum of its proper divisors (126805818600).

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

40395979800 is a wasteful number, since it uses less digits than its factorization.

40395979800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 40395979800 in words is "forty billion, three hundred ninety-five million, nine hundred seventy-nine thousand, eight hundred".