40459910400000 has 4608 divisors, whose sum is σ = 192616471756800. Its totient is φ = 8161689600000.

The previous prime is 40459910399957. The next prime is 40459910400001. The reversal of 40459910400000 is 401995404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40459910400001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 487468799959 + ... + 487468800041.

It is an arithmetic number, because the mean of its divisors is an integer number (41800449600).

Almost surely, 2^{40459910400000} is an apocalyptic number.

40459910400000 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 40459910400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96308235878400).

40459910400000 is an abundant number, since it is smaller than the sum of its proper divisors (152156561356800).

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

40459910400000 is an equidigital number, since it uses as much as digits as its factorization.

40459910400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40459910400000 in words is "forty trillion, four hundred fifty-nine billion, nine hundred ten million, four hundred thousand".