40688092938240 has 2560 divisors, whose sum is σ = 169400454727680. Its totient is φ = 9287604633600.

The previous prime is 40688092938217. The next prime is 40688092938257. The reversal of 40688092938240 is 4283929088604.

40688092938240 is a `hidden beast` number, since 40 + 68 + 8 + 0 + 9 + 293 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1099678187502 + ... + 1099678187538.

It is an arithmetic number, because the mean of its divisors is an integer number (66172052628).

Almost surely, 2^{40688092938240} is an apocalyptic number.

40688092938240 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 40688092938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84700227363840).

40688092938240 is an abundant number, since it is smaller than the sum of its proper divisors (128712361789440).

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

40688092938240 is an frugal number, since it uses more digits than its factorization.

40688092938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 40688092938240 in words is "forty trillion, six hundred eighty-eight billion, ninety-two million, nine hundred thirty-eight thousand, two hundred forty".