40532240400 has 120 divisors (see below), whose sum is σ = 130491499200. Its totient is φ = 10754219520.

The previous prime is 40532240393. The next prime is 40532240417. The reversal of 40532240400 is 404223504.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 153934 + ... + 323666.

It is an arithmetic number, because the mean of its divisors is an integer number (1087429160).

Almost surely, 2^40532240400 is an apocalyptic number.

40532240400 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 40532240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245749600).

40532240400 is an abundant number, since it is smaller than the sum of its proper divisors (89959258800).

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

40532240400 is a wasteful number, since it uses less digits than its factorization.

40532240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169953 (or 169942 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 40532240400 its reverse (404223504), we get a palindrome (40936463904).

The spelling of 40532240400 in words is "forty billion, five hundred thirty-two million, two hundred forty thousand, four hundred".