40554450134400 has 384 divisors, whose sum is σ = 137701189238400. Its totient is φ = 10485579202560.

The previous prime is 40554450134383. The next prime is 40554450134411. The reversal of 40554450134400 is 443105445504.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40856787 + ... + 41837613.

It is an arithmetic number, because the mean of its divisors is an integer number (358596846975).

Almost surely, 2^{40554450134400} is an apocalyptic number.

40554450134400 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 40554450134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850594619200).

40554450134400 is an abundant number, since it is smaller than the sum of its proper divisors (97146739104000).

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

40554450134400 is a wasteful number, since it uses less digits than its factorization.

40554450134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980986 (or 980969 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 40554450134400 its reverse (443105445504), we get a palindrome (40997555579904).

The spelling of 40554450134400 in words is "forty trillion, five hundred fifty-four billion, four hundred fifty million, one hundred thirty-four thousand, four hundred".