40248418560000 has 480 divisors, whose sum is σ = 153240924957120. Its totient is φ = 9199632384000.

The previous prime is 40248418559959. The next prime is 40248418560041. The reversal of 40248418560000 is 6581484204.

It is an interprime number because it is at equal distance from previous prime (40248418559959) and next prime (40248418560041).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26131332 + ... + 27628668.

It is an arithmetic number, because the mean of its divisors is an integer number (319251926994).

Almost surely, 2^{40248418560000} is an apocalyptic number.

40248418560000 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 40248418560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76620462478560).

40248418560000 is an abundant number, since it is smaller than the sum of its proper divisors (112992506397120).

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

40248418560000 is an equidigital number, since it uses as much as digits as its factorization.

40248418560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497389 (or 1497354 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 40248418560000 in words is "forty trillion, two hundred forty-eight billion, four hundred eighteen million, five hundred sixty thousand".