40688345376 has 144 divisors (see below), whose sum is σ = 132706252224. Its totient is φ = 11584000512.

The previous prime is 40688345323. The next prime is 40688345381. The reversal of 40688345376 is 67354388604.

40688345376 is a `hidden beast` number, since 40 + 6 + 8 + 83 + 453 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×40688345376³ (a number of 33 digits) contains 333 as substring.

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, 534870 + ... + 606186.

It is an arithmetic number, because the mean of its divisors is an integer number (921571196).

Almost surely, 2^40688345376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40688345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66353126112).

40688345376 is an abundant number, since it is smaller than the sum of its proper divisors (92017906848).

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

40688345376 is a wasteful number, since it uses less digits than its factorization.

40688345376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71623 (or 71612 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 40688345376 in words is "forty billion, six hundred eighty-eight million, three hundred forty-five thousand, three hundred seventy-six".