40719579687072 has 288 divisors, whose sum is σ = 136347564015936. Its totient is φ = 11364375859200.

The previous prime is 40719579687071. The next prime is 40719579687089. The reversal of 40719579687072 is 27078697591704.

40719579687072 is a `hidden beast` number, since 40 + 7 + 1 + 9 + 579 + 6 + 8 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (40719579687071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17128572 + ... + 19360452.

It is an arithmetic number, because the mean of its divisors is an integer number (473429041722).

Almost surely, 2^{40719579687072} 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 40719579687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68173782007968).

40719579687072 is an abundant number, since it is smaller than the sum of its proper divisors (95627984328864).

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

40719579687072 is a wasteful number, since it uses less digits than its factorization.

40719579687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232364 (or 2232353 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 40719579687072 in words is "forty trillion, seven hundred nineteen billion, five hundred seventy-nine million, six hundred eighty-seven thousand, seventy-two".