10534333440400 has 240 divisors, whose sum is σ = 31560452858880. Its totient is φ = 3282731020800.

The previous prime is 10534333440391. The next prime is 10534333440409. The reversal of 10534333440400 is 404433343501.

It is an interprime number because it is at equal distance from previous prime (10534333440391) and next prime (10534333440409).

It is a super-2 number, since 2×10534333440400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10534333440409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155783397 + ... + 155851003.

It is an arithmetic number, because the mean of its divisors is an integer number (131501886912).

Almost surely, 2^{10534333440400} is an apocalyptic number.

10534333440400 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 10534333440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15780226429440).

10534333440400 is an abundant number, since it is smaller than the sum of its proper divisors (21026119418480).

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

10534333440400 is a wasteful number, since it uses less digits than its factorization.

10534333440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72702 (or 72691 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 10534333440400 its reverse (404433343501), we get a palindrome (10938766783901).

The spelling of 10534333440400 in words is "ten trillion, five hundred thirty-four billion, three hundred thirty-three million, four hundred forty thousand, four hundred".