10434757132800 has 5760 divisors, whose sum is σ = 54420116889600. Its totient is φ = 1922973696000.

The previous prime is 10434757132777. The next prime is 10434757132847. The reversal of 10434757132800 is 823175743401.

10434757132800 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 47 + 571 + 32 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 75070195131 + ... + 75070195269.

It is an arithmetic number, because the mean of its divisors is an integer number (9447936960).

Almost surely, 2^{10434757132800} is an apocalyptic number.

10434757132800 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 10434757132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210058444800).

10434757132800 is an abundant number, since it is smaller than the sum of its proper divisors (43985359756800).

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

10434757132800 is a wasteful number, since it uses less digits than its factorization.

10434757132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10434757132800 in words is "ten trillion, four hundred thirty-four billion, seven hundred fifty-seven million, one hundred thirty-two thousand, eight hundred".