40208680400 has 120 divisors (see below), whose sum is σ = 110469548544. Its totient is φ = 13777344000.

The previous prime is 40208680397. The next prime is 40208680427. The reversal of 40208680400 is 408680204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5997050 + ... + 6003750.

Almost surely, 2^40208680400 is an apocalyptic number.

40208680400 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 40208680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55234774272).

40208680400 is an abundant number, since it is smaller than the sum of its proper divisors (70260868144).

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

40208680400 is a wasteful number, since it uses less digits than its factorization.

40208680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 40208680400 in words is "forty billion, two hundred eight million, six hundred eighty thousand, four hundred".