40689284673440 has 192 divisors, whose sum is σ = 106507363366656. Its totient is φ = 14596764475392.

The previous prime is 40689284673409. The next prime is 40689284673509. The reversal of 40689284673440 is 4437648298604.

40689284673440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8173469 + ... + 12173091.

It is an arithmetic number, because the mean of its divisors is an integer number (554725850868).

Almost surely, 2^{40689284673440} is an apocalyptic number.

40689284673440 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 40689284673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53253681683328).

40689284673440 is an abundant number, since it is smaller than the sum of its proper divisors (65818078693216).

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

40689284673440 is a wasteful number, since it uses less digits than its factorization.

40689284673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999791 (or 3999783 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 65.

The spelling of 40689284673440 in words is "forty trillion, six hundred eighty-nine billion, two hundred eighty-four million, six hundred seventy-three thousand, four hundred forty".