40232024400 has 240 divisors, whose sum is σ = 131639717376. Its totient is φ = 10499573760.

The previous prime is 40232024359. The next prime is 40232024519. The reversal of 40232024400 is 442023204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 46618369 + ... + 46619231.

Almost surely, 2^40232024400 is an apocalyptic number.

40232024400 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 40232024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65819858688).

40232024400 is an abundant number, since it is smaller than the sum of its proper divisors (91407692976).

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

40232024400 is a wasteful number, since it uses less digits than its factorization.

40232024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40232024400 its reverse (442023204), we get a palindrome (40674047604).

The spelling of 40232024400 in words is "forty billion, two hundred thirty-two million, twenty-four thousand, four hundred".