40272562471680 has 2016 divisors, whose sum is σ = 190933151851008. Its totient is φ = 7875831398400.

The previous prime is 40272562471657. The next prime is 40272562471751. The reversal of 40272562471680 is 8617426527204.

40272562471680 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 2 + 5 + 624 + 7 + 1 + 6 + 8 + 0 = 666.

40272562471680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1221437595 + ... + 1221470565.

It is an arithmetic number, because the mean of its divisors is an integer number (94708904688).

Almost surely, 2^{40272562471680} is an apocalyptic number.

40272562471680 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 40272562471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95466575925504).

40272562471680 is an abundant number, since it is smaller than the sum of its proper divisors (150660589379328).

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

40272562471680 is a wasteful number, since it uses less digits than its factorization.

40272562471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33045 (or 33016 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

Adding to 40272562471680 its reverse (8617426527204), we get a palindrome (48889988998884).

The spelling of 40272562471680 in words is "forty trillion, two hundred seventy-two billion, five hundred sixty-two million, four hundred seventy-one thousand, six hundred eighty".