413198990400 has 336 divisors, whose sum is σ = 1551115008000. Its totient is φ = 94334822400.

The previous prime is 413198990389. The next prime is 413198990429. The reversal of 413198990400 is 4099891314.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 413198990400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30602851 + ... + 30616349.

Almost surely, 2^413198990400 is an apocalyptic number.

413198990400 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 413198990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775557504000).

413198990400 is an abundant number, since it is smaller than the sum of its proper divisors (1137916017600).

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

413198990400 is a wasteful number, since it uses less digits than its factorization.

413198990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14442 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 413198990400 in words is "four hundred thirteen billion, one hundred ninety-eight million, nine hundred ninety thousand, four hundred".