133414311430400 has 1296 divisors, whose sum is σ = 466857724818240. Its totient is φ = 37060956979200.

The previous prime is 133414311430399. The next prime is 133414311430441. The reversal of 133414311430400 is 4034113414331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1300447907 + ... + 1300550493.

It is an arithmetic number, because the mean of its divisors is an integer number (360229725940).

Almost surely, 2^{133414311430400} is an apocalyptic number.

133414311430400 is a gapful number since it is divisible by the number (10) 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 133414311430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233428862409120).

133414311430400 is an abundant number, since it is smaller than the sum of its proper divisors (333443413387840).

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

133414311430400 is a wasteful number, since it uses less digits than its factorization.

133414311430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102680 (or 102654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 133414311430400 its reverse (4034113414331), we get a palindrome (137448424844731).

The spelling of 133414311430400 in words is "one hundred thirty-three trillion, four hundred fourteen billion, three hundred eleven million, four hundred thirty thousand, four hundred".