40305807360 has 1248 divisors, whose sum is σ = 180322571520. Its totient is φ = 8408530944.

The previous prime is 40305807349. The next prime is 40305807419. The reversal of 40305807360 is 6370850304.

It is a happy number.

40305807360 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 580 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 452874196 + ... + 452874284.

It is an arithmetic number, because the mean of its divisors is an integer number (144489240).

Almost surely, 2^40305807360 is an apocalyptic number.

40305807360 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 40305807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90161285760).

40305807360 is an abundant number, since it is smaller than the sum of its proper divisors (140016764160).

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

40305807360 is an equidigital number, since it uses as much as digits as its factorization.

40305807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40305807360 in words is "forty billion, three hundred five million, eight hundred seven thousand, three hundred sixty".