40551054144000 has 640 divisors, whose sum is σ = 135810256158720. Its totient is φ = 10734614528000.

The previous prime is 40551054143939. The next prime is 40551054144011. The reversal of 40551054144000 is 44145015504.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25046975191 + ... + 25046976809.

It is an arithmetic number, because the mean of its divisors is an integer number (212203525248).

Almost surely, 2^{40551054144000} is an apocalyptic number.

40551054144000 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 40551054144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67905128079360).

40551054144000 is an abundant number, since it is smaller than the sum of its proper divisors (95259202014720).

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

40551054144000 is a wasteful number, since it uses less digits than its factorization.

40551054144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 40551054144000 its reverse (44145015504), we get a palindrome (40595199159504).

The spelling of 40551054144000 in words is "forty trillion, five hundred fifty-one billion, fifty-four million, one hundred forty-four thousand".