40551266215504 has 160 divisors (see below), whose sum is σ = 91009447022592. Its totient is φ = 17299043328000.

The previous prime is 40551266215489. The next prime is 40551266215561.

40551266215504 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×40551266215504⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3384625194 + ... + 3384637174.

Almost surely, 2^{40551266215504} is an apocalyptic number.

40551266215504 is a gapful number since it is divisible by the number (44) 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 40551266215504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45504723511296).

40551266215504 is an abundant number, since it is smaller than the sum of its proper divisors (50458180807088).

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

40551266215504 is a wasteful number, since it uses less digits than its factorization.

40551266215504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15125 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 40551266215504 in words is "forty trillion, five hundred fifty-one billion, two hundred sixty-six million, two hundred fifteen thousand, five hundred four".