40460681184 has 384 divisors, whose sum is σ = 143897886720. Its totient is φ = 9633945600.

The previous prime is 40460681161. The next prime is 40460681197. The reversal of 40460681184 is 48118606404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4349242 + ... + 4358534.

It is an arithmetic number, because the mean of its divisors is an integer number (374734080).

Almost surely, 2^40460681184 is an apocalyptic number.

40460681184 is a gapful number since it is divisible by the number (44) 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 40460681184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71948943360).

40460681184 is an abundant number, since it is smaller than the sum of its proper divisors (103437205536).

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

40460681184 is a wasteful number, since it uses less digits than its factorization.

40460681184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 40460681184 in words is "forty billion, four hundred sixty million, six hundred eighty-one thousand, one hundred eighty-four".