534131301202400 has 216 divisors, whose sum is σ = 1441550015097192. Its totient is φ = 193106843776000.

The previous prime is 534131301202399. The next prime is 534131301202453. The reversal of 534131301202400 is 4202103131435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 798755 + ... + 32694045.

It is an arithmetic number, because the mean of its divisors is an integer number (6673842662487).

Almost surely, 2^{534131301202400} is an apocalyptic number.

534131301202400 is a gapful number since it is divisible by the number (50) 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 534131301202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720775007548596).

534131301202400 is an abundant number, since it is smaller than the sum of its proper divisors (907418713894792).

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

534131301202400 is a wasteful number, since it uses less digits than its factorization.

534131301202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31895506 (or 31895482 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 534131301202400 its reverse (4202103131435), we get a palindrome (538333404333835).

The spelling of 534131301202400 in words is "five hundred thirty-four trillion, one hundred thirty-one billion, three hundred one million, two hundred two thousand, four hundred".