801429158400 has 240 divisors, whose sum is σ = 2851124537184. Its totient is φ = 197274746880.

The previous prime is 801429158359. The next prime is 801429158417. The reversal of 801429158400 is 4851924108.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303514 + ... + 1301913.

Almost surely, 2^801429158400 is an apocalyptic number.

801429158400 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 801429158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425562268592).

801429158400 is an abundant number, since it is smaller than the sum of its proper divisors (2049695378784).

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

801429158400 is a wasteful number, since it uses less digits than its factorization.

801429158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605471 (or 1605450 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 801429158400 in words is "eight hundred one billion, four hundred twenty-nine million, one hundred fifty-eight thousand, four hundred".