413245455011400 has 384 divisors, whose sum is σ = 1401592392345600. Its totient is φ = 99888963609600.

The previous prime is 413245455011353. The next prime is 413245455011471. The reversal of 413245455011400 is 4110554542314.

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, 16308659931 + ... + 16308685269.

It is an arithmetic number, because the mean of its divisors is an integer number (3649980188400).

Almost surely, 2^{413245455011400} is an apocalyptic number.

413245455011400 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 413245455011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700796196172800).

413245455011400 is an abundant number, since it is smaller than the sum of its proper divisors (988346937334200).

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

413245455011400 is a wasteful number, since it uses less digits than its factorization.

413245455011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32469 (or 32460 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 413245455011400 in words is "four hundred thirteen trillion, two hundred forty-five billion, four hundred fifty-five million, eleven thousand, four hundred".