40144827985920 has 2496 divisors, whose sum is σ = 178055659192320. Its totient is φ = 8466626248704.

The previous prime is 40144827985909. The next prime is 40144827985921. The reversal of 40144827985920 is 2958972844104.

40144827985920 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 482 + 79 + 85 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×40144827985920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40144827985921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31387667841 + ... + 31387669119.

It is an arithmetic number, because the mean of its divisors is an integer number (71336401920).

Almost surely, 2^{40144827985920} is an apocalyptic number.

40144827985920 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 40144827985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89027829596160).

40144827985920 is an abundant number, since it is smaller than the sum of its proper divisors (137910831206400).

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

40144827985920 is a wasteful number, since it uses less digits than its factorization.

40144827985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 40144827985920 in words is "forty trillion, one hundred forty-four billion, eight hundred twenty-seven million, nine hundred eighty-five thousand, nine hundred twenty".