414573252096 has 320 divisors, whose sum is σ = 1195900028928. Its totient is φ = 127135776768.

The previous prime is 414573252091. The next prime is 414573252127. The reversal of 414573252096 is 690252375414.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414573252091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640762045 + ... + 640762691.

Almost surely, 2^414573252096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414573252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597950014464).

414573252096 is an abundant number, since it is smaller than the sum of its proper divisors (781326776832).

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

414573252096 is a wasteful number, since it uses less digits than its factorization.

414573252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 414573252096 in words is "four hundred fourteen billion, five hundred seventy-three million, two hundred fifty-two thousand, ninety-six".