40531153520400 has 240 divisors, whose sum is σ = 137480567251968. Its totient is φ = 10171900928000.

The previous prime is 40531153520399. The next prime is 40531153520437. The reversal of 40531153520400 is 402535113504.

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

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, 395525170 + ... + 395627630.

Almost surely, 2^{40531153520400} is an apocalyptic number.

40531153520400 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 40531153520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68740283625984).

40531153520400 is an abundant number, since it is smaller than the sum of its proper divisors (96949413731568).

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

40531153520400 is a wasteful number, since it uses less digits than its factorization.

40531153520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121890 (or 121879 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 40531153520400 its reverse (402535113504), we get a palindrome (40933688633904).

The spelling of 40531153520400 in words is "forty trillion, five hundred thirty-one billion, one hundred fifty-three million, five hundred twenty thousand, four hundred".