39940401600 has 1008 divisors, whose sum is σ = 170395879680. Its totient is φ = 8758886400.

The previous prime is 39940401569. The next prime is 39940401649. The reversal of 39940401600 is 610404993.

39940401600 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 0 + 40 + 1 + 600 = 666.

It is a super-3 number, since 3×39940401600³ (a number of 33 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69220512 + ... + 69221088.

Almost surely, 2^39940401600 is an apocalyptic number.

39940401600 is a gapful number since it is divisible by the number (30) 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 39940401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85197939840).

39940401600 is an abundant number, since it is smaller than the sum of its proper divisors (130455478080).

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

39940401600 is a wasteful number, since it uses less digits than its factorization.

39940401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 39940401600 in words is "thirty-nine billion, nine hundred forty million, four hundred one thousand, six hundred".