40575502437888 has 640 divisors, whose sum is σ = 123827709519360. Its totient is φ = 11696404561920.

The previous prime is 40575502437881. The next prime is 40575502437917. The reversal of 40575502437888 is 88873420557504.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40575502437881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10171846198 + ... + 10171850186.

It is an arithmetic number, because the mean of its divisors is an integer number (193480796124).

Almost surely, 2^{40575502437888} is an apocalyptic number.

40575502437888 is a gapful number since it is divisible by the number (48) 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 40575502437888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61913854759680).

40575502437888 is an abundant number, since it is smaller than the sum of its proper divisors (83252207081472).

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

40575502437888 is a wasteful number, since it uses less digits than its factorization.

40575502437888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 66.

The spelling of 40575502437888 in words is "forty trillion, five hundred seventy-five billion, five hundred two million, four hundred thirty-seven thousand, eight hundred eighty-eight".