415448040000 has 1120 divisors, whose sum is σ = 1700239749120. Its totient is φ = 87330816000.

The previous prime is 415448039999. The next prime is 415448040013. The reversal of 415448040000 is 40844514.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 415448040000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 671159691 + ... + 671160309.

Almost surely, 2^415448040000 is an apocalyptic number.

415448040000 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 415448040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850119874560).

415448040000 is an abundant number, since it is smaller than the sum of its proper divisors (1284791709120).

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

415448040000 is a wasteful number, since it uses less digits than its factorization.

415448040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 415448040000 its reverse (40844514), we get a palindrome (415488884514).

The spelling of 415448040000 in words is "four hundred fifteen billion, four hundred forty-eight million, forty thousand".