40553404421200 has 480 divisors, whose sum is σ = 109539251217792. Its totient is φ = 14300762112000.

The previous prime is 40553404421161. The next prime is 40553404421221. The reversal of 40553404421200 is 212440435504.

It is a super-2 number, since 2×40553404421200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16640706382 + ... + 16640708818.

Almost surely, 2^{40553404421200} is an apocalyptic number.

40553404421200 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 40553404421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54769625608896).

40553404421200 is an abundant number, since it is smaller than the sum of its proper divisors (68985846796592).

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

40553404421200 is a wasteful number, since it uses less digits than its factorization.

40553404421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 40553404421200 its reverse (212440435504), we get a palindrome (40765844856704).

The spelling of 40553404421200 in words is "forty trillion, five hundred fifty-three billion, four hundred four million, four hundred twenty-one thousand, two hundred".