415207766400 has 384 divisors, whose sum is σ = 1592464147200. Its totient is φ = 93113180160.

The previous prime is 415207766399. The next prime is 415207766563. The reversal of 415207766400 is 4667702514.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3503311 + ... + 3619889.

It is an arithmetic number, because the mean of its divisors is an integer number (4147042050).

Almost surely, 2^415207766400 is an apocalyptic number.

415207766400 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 415207766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796232073600).

415207766400 is an abundant number, since it is smaller than the sum of its proper divisors (1177256380800).

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

415207766400 is a wasteful number, since it uses less digits than its factorization.

415207766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116666 (or 116649 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 415207766400 in words is "four hundred fifteen billion, two hundred seven million, seven hundred sixty-six thousand, four hundred".