534051041140400 has 180 divisors, whose sum is σ = 1493334246250080. Its totient is φ = 183005337715200.

The previous prime is 534051041140387. The next prime is 534051041140429. The reversal of 534051041140400 is 4041140150435.

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, 29390066 + ... + 43953134.

It is an arithmetic number, because the mean of its divisors is an integer number (8296301368056).

Almost surely, 2^{534051041140400} is an apocalyptic number.

534051041140400 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 534051041140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746667123125040).

534051041140400 is an abundant number, since it is smaller than the sum of its proper divisors (959283205109680).

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

534051041140400 is a wasteful number, since it uses less digits than its factorization.

534051041140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14564972 (or 14564954 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 534051041140400 its reverse (4041140150435), we get a palindrome (538092181290835).

The spelling of 534051041140400 in words is "five hundred thirty-four trillion, fifty-one billion, forty-one million, one hundred forty thousand, four hundred".