40578452572320 has 288 divisors, whose sum is σ = 149133161923200. Its totient is φ = 9988049958912.

The previous prime is 40578452572313. The next prime is 40578452572367. The reversal of 40578452572320 is 2327525487504.

40578452572320 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 8 + 45 + 2 + 572 + 3 + 20 = 666.

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

It is a super-2 number, since 2×40578452572320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509874291 + ... + 509953869.

It is an arithmetic number, because the mean of its divisors is an integer number (517823478900).

Almost surely, 2^{40578452572320} is an apocalyptic number.

40578452572320 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 40578452572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74566580961600).

40578452572320 is an abundant number, since it is smaller than the sum of its proper divisors (108554709350880).

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

40578452572320 is a wasteful number, since it uses less digits than its factorization.

40578452572320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106852 (or 106841 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 40578452572320 in words is "forty trillion, five hundred seventy-eight billion, four hundred fifty-two million, five hundred seventy-two thousand, three hundred twenty".