40518614400000 has 2112 divisors, whose sum is σ = 155019623109120. Its totient is φ = 9318400000000.

The previous prime is 40518614399999. The next prime is 40518614400007. The reversal of 40518614400000 is 441681504.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×40518614400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40518614400007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309302399935 + ... + 309302400065.

It is an arithmetic number, because the mean of its divisors is an integer number (73399442760).

Almost surely, 2^{40518614400000} is an apocalyptic number.

40518614400000 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 40518614400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77509811554560).

40518614400000 is an abundant number, since it is smaller than the sum of its proper divisors (114501008709120).

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

40518614400000 is a wasteful number, since it uses less digits than its factorization.

40518614400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 40518614400000 in words is "forty trillion, five hundred eighteen billion, six hundred fourteen million, four hundred thousand".