40572827504 has 120 divisors (see below), whose sum is σ = 93619476720. Its totient is φ = 16953108480.

The previous prime is 40572827473. The next prime is 40572827507.

40572827504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40572827507) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1400882 + ... + 1429550.

It is an arithmetic number, because the mean of its divisors is an integer number (780162306).

Almost surely, 2^40572827504 is an apocalyptic number.

40572827504 is a gapful number since it is divisible by the number (44) 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 40572827504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46809738360).

40572827504 is an abundant number, since it is smaller than the sum of its proper divisors (53046649216).

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

40572827504 is a wasteful number, since it uses less digits than its factorization.

40572827504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28759 (or 28742 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 40572827504 in words is "forty billion, five hundred seventy-two million, eight hundred twenty-seven thousand, five hundred four".