40631552244400 has 240 divisors, whose sum is σ = 107795377841760. Its totient is φ = 14625876787200.

The previous prime is 40631552244329. The next prime is 40631552244419. The reversal of 40631552244400 is 444225513604.

40631552244400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35276811 + ... + 36410389.

It is an arithmetic number, because the mean of its divisors is an integer number (449147407674).

Almost surely, 2^{40631552244400} is an apocalyptic number.

40631552244400 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 40631552244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53897688920880).

40631552244400 is an abundant number, since it is smaller than the sum of its proper divisors (67163825597360).

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

40631552244400 is a wasteful number, since it uses less digits than its factorization.

40631552244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133784 (or 1133773 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 40631552244400 in words is "forty trillion, six hundred thirty-one billion, five hundred fifty-two million, two hundred forty-four thousand, four hundred".