80414150400 has 486 divisors, whose sum is σ = 292792244472. Its totient is φ = 21055795200.

The previous prime is 80414150389. The next prime is 80414150419. The reversal of 80414150400 is 405141408.

It is a happy number.

80414150400 is a `hidden beast` number, since 80 + 41 + 41 + 504 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 258566245 + ... + 258566555.

Almost surely, 2^80414150400 is an apocalyptic number.

80414150400 is a gapful number since it is divisible by the number (80) 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 80414150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146396122236).

80414150400 is an abundant number, since it is smaller than the sum of its proper divisors (212378094072).

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

80414150400 is a wasteful number, since it uses less digits than its factorization.

80414150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 80414150400 its reverse (405141408), we get a palindrome (80819291808).

The spelling of 80414150400 in words is "eighty billion, four hundred fourteen million, one hundred fifty thousand, four hundred".