40219520108544 has 768 divisors, whose sum is σ = 150438029414400. Its totient is φ = 10345062334464.

The previous prime is 40219520108543. The next prime is 40219520108627. The reversal of 40219520108544 is 44580102591204.

40219520108544 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 9 + 520 + 1 + 0 + 85 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 40219520108544.

It is not an unprimeable number, because it can be changed into a prime (40219520108543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151212279 + ... + 151478025.

It is an arithmetic number, because the mean of its divisors is an integer number (195882850800).

Almost surely, 2^{40219520108544} 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 40219520108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75219014707200).

40219520108544 is an abundant number, since it is smaller than the sum of its proper divisors (110218509305856).

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

40219520108544 is a wasteful number, since it uses less digits than its factorization.

40219520108544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265825 (or 265799 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 40219520108544 its reverse (44580102591204), we get a palindrome (84799622699748).

The spelling of 40219520108544 in words is "forty trillion, two hundred nineteen billion, five hundred twenty million, one hundred eight thousand, five hundred forty-four".