14415003552040 has 384 divisors, whose sum is σ = 41337619535520. Its totient is φ = 4482951782400.

The previous prime is 14415003552007. The next prime is 14415003552043. The reversal of 14415003552040 is 4025530051441.

It can be written as a sum of positive squares in 16 ways, for example, as 880448175684 + 13534555376356 = 938322^2 + 3678934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14415003551987 and 14415003552005.

It is not an unprimeable number, because it can be changed into a prime (14415003552043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1835600754 + ... + 1835608606.

Almost surely, 2^{14415003552040} is an apocalyptic number.

14415003552040 is a gapful number since it is divisible by the number (10) 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 14415003552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668809767760).

14415003552040 is an abundant number, since it is smaller than the sum of its proper divisors (26922615983480).

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

14415003552040 is a wasteful number, since it uses less digits than its factorization.

14415003552040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 14415003552040 in words is "fourteen trillion, four hundred fifteen billion, three million, five hundred fifty-two thousand, forty".