413025140053200 has 480 divisors, whose sum is σ = 1334059253084416. Its totient is φ = 109228250234880.

The previous prime is 413025140053151. The next prime is 413025140053219. The reversal of 413025140053200 is 2350041520314.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180124351254 + ... + 180124353546.

Almost surely, 2^{413025140053200} is an apocalyptic number.

413025140053200 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 413025140053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667029626542208).

413025140053200 is an abundant number, since it is smaller than the sum of its proper divisors (921034113031216).

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

413025140053200 is a wasteful number, since it uses less digits than its factorization.

413025140053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 413025140053200 its reverse (2350041520314), we get a palindrome (415375181573514).

The spelling of 413025140053200 in words is "four hundred thirteen trillion, twenty-five billion, one hundred forty million, fifty-three thousand, two hundred".