40682210400 has 864 divisors, whose sum is σ = 168242544288. Its totient is φ = 9157017600.

The previous prime is 40682210357. The next prime is 40682210423. The reversal of 40682210400 is 401228604.

40682210400 is a `hidden beast` number, since 40 + 6 + 8 + 2 + 210 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58874055 + ... + 58874745.

It is an arithmetic number, because the mean of its divisors is an integer number (194725167).

Almost surely, 2^40682210400 is an apocalyptic number.

40682210400 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 40682210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84121272144).

40682210400 is an abundant number, since it is smaller than the sum of its proper divisors (127560333888).

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

40682210400 is a wasteful number, since it uses less digits than its factorization.

40682210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40682210400 in words is "forty billion, six hundred eighty-two million, two hundred ten thousand, four hundred".