40127889984 has 672 divisors, whose sum is σ = 139936849920. Its totient is φ = 9920102400.

The previous prime is 40127889961. The next prime is 40127890003. The reversal of 40127889984 is 48998872104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40127889984² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288689787 + ... + 288689925.

It is an arithmetic number, because the mean of its divisors is an integer number (208239360).

Almost surely, 2^40127889984 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 40127889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69968424960).

40127889984 is an abundant number, since it is smaller than the sum of its proper divisors (99808959936).

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

40127889984 is a wasteful number, since it uses less digits than its factorization.

40127889984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 40127889984 in words is "forty billion, one hundred twenty-seven million, eight hundred eighty-nine thousand, nine hundred eighty-four".