413891478000 has 3840 divisors, whose sum is σ = 2174946508800. Its totient is φ = 72783360000.

The previous prime is 413891477963. The next prime is 413891478029. The reversal of 413891478000 is 874198314.

It is a happy number.

It is a super-2 number, since 2×413891478000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 13351337985 + ... + 13351338015.

It is an arithmetic number, because the mean of its divisors is an integer number (566392320).

Almost surely, 2^413891478000 is an apocalyptic number.

413891478000 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 413891478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087473254400).

413891478000 is an abundant number, since it is smaller than the sum of its proper divisors (1761055030800).

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

413891478000 is a wasteful number, since it uses less digits than its factorization.

413891478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 413891478000 in words is "four hundred thirteen billion, eight hundred ninety-one million, four hundred seventy-eight thousand".