414153210000 has 400 divisors, whose sum is σ = 1405169251904. Its totient is φ = 104944896000.

The previous prime is 414153209999. The next prime is 414153210019. The reversal of 414153210000 is 12351414.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 47725662 + ... + 47734338.

Almost surely, 2^414153210000 is an apocalyptic number.

414153210000 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 414153210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702584625952).

414153210000 is an abundant number, since it is smaller than the sum of its proper divisors (991016041904).

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

414153210000 is a wasteful number, since it uses less digits than its factorization.

414153210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 414153210000 its reverse (12351414), we get a palindrome (414165561414).

The spelling of 414153210000 in words is "four hundred fourteen billion, one hundred fifty-three million, two hundred ten thousand".