415014041200 has 120 divisors (see below), whose sum is σ = 1088122248576. Its totient is φ = 150857568000.

The previous prime is 415014041179. The next prime is 415014041231. The reversal of 415014041200 is 2140410514.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12756955 + ... + 12789445.

Almost surely, 2^415014041200 is an apocalyptic number.

415014041200 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 415014041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544061124288).

415014041200 is an abundant number, since it is smaller than the sum of its proper divisors (673108207376).

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

415014041200 is a wasteful number, since it uses less digits than its factorization.

415014041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35423 (or 35412 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 415014041200 its reverse (2140410514), we get a palindrome (417154451714).

The spelling of 415014041200 in words is "four hundred fifteen billion, fourteen million, forty-one thousand, two hundred".