40466288640 has 624 divisors, whose sum is σ = 143394660288. Its totient is φ = 9732882432.

The previous prime is 40466288581. The next prime is 40466288663. The reversal of 40466288640 is 4688266404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40466288640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763514854 + ... + 763514906.

Almost surely, 2^40466288640 is an apocalyptic number.

40466288640 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 40466288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71697330144).

40466288640 is an abundant number, since it is smaller than the sum of its proper divisors (102928371648).

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

40466288640 is a wasteful number, since it uses less digits than its factorization.

40466288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 40466288640 in words is "forty billion, four hundred sixty-six million, two hundred eighty-eight thousand, six hundred forty".