40688361277400 has 96 divisors (see below), whose sum is σ = 97872772014000. Its totient is φ = 15712480197120.

The previous prime is 40688361277397. The next prime is 40688361277451. The reversal of 40688361277400 is 477216388604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55764131 + ... + 56489069.

Almost surely, 2^{40688361277400} is an apocalyptic number.

40688361277400 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 40688361277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48936386007000).

40688361277400 is an abundant number, since it is smaller than the sum of its proper divisors (57184410736600).

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

40688361277400 is a wasteful number, since it uses less digits than its factorization.

40688361277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734661 (or 734652 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 40688361277400 in words is "forty trillion, six hundred eighty-eight billion, three hundred sixty-one million, two hundred seventy-seven thousand, four hundred".