40208071680 has 704 divisors, whose sum is σ = 167868410880. Its totient is φ = 8934064128.

The previous prime is 40208071637. The next prime is 40208071703. The reversal of 40208071680 is 8617080204.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35803599 + ... + 35804721.

Almost surely, 2^40208071680 is an apocalyptic number.

40208071680 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 40208071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83934205440).

40208071680 is an abundant number, since it is smaller than the sum of its proper divisors (127660339200).

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

40208071680 is a wasteful number, since it uses less digits than its factorization.

40208071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 40208071680 in words is "forty billion, two hundred eight million, seventy-one thousand, six hundred eighty".