40307984640 has 1728 divisors, whose sum is σ = 192601704960. Its totient is φ = 7882997760.

The previous prime is 40307984569. The next prime is 40307984641. The reversal of 40307984640 is 4648970304.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40307984641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2371057912 + ... + 2371057928.

It is an arithmetic number, because the mean of its divisors is an integer number (111459320).

Almost surely, 2^40307984640 is an apocalyptic number.

40307984640 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 40307984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300852480).

40307984640 is an abundant number, since it is smaller than the sum of its proper divisors (152293720320).

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

40307984640 is an equidigital number, since it uses as much as digits as its factorization.

40307984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40307984640 in words is "forty billion, three hundred seven million, nine hundred eighty-four thousand, six hundred forty".