40354680600 has 384 divisors, whose sum is σ = 150318504000. Its totient is φ = 9891901440.

The previous prime is 40354680599. The next prime is 40354680629. The reversal of 40354680600 is 608645304.

40354680600 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 46 + 8 + 0 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 18882732 + ... + 18884868.

Almost surely, 2^40354680600 is an apocalyptic number.

40354680600 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 40354680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75159252000).

40354680600 is an abundant number, since it is smaller than the sum of its proper divisors (109963823400).

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

40354680600 is a wasteful number, since it uses less digits than its factorization.

40354680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40354680600 in words is "forty billion, three hundred fifty-four million, six hundred eighty thousand, six hundred".