413203204121004 has 384 divisors, whose sum is σ = 1200568216780800. Its totient is φ = 121850295840000.

The previous prime is 413203204120909. The next prime is 413203204121023. The reversal of 413203204121004 is 400121402302314.

413203204121004 is a `hidden beast` number, since 4 + 1 + 320 + 320 + 4 + 1 + 2 + 10 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1999534717 + ... + 1999741355.

It is an arithmetic number, because the mean of its divisors is an integer number (3126479731200).

Almost surely, 2^{413203204121004} is an apocalyptic number.

413203204121004 is a gapful number since it is divisible by the number (44) 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 413203204121004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600284108390400).

413203204121004 is an abundant number, since it is smaller than the sum of its proper divisors (787365012659796).

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

413203204121004 is a wasteful number, since it uses less digits than its factorization.

413203204121004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207042 (or 207034 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413203204121004 its reverse (400121402302314), we get a palindrome (813324606423318).

The spelling of 413203204121004 in words is "four hundred thirteen trillion, two hundred three billion, two hundred four million, one hundred twenty-one thousand, four".