10235340740394 has 1152 divisors, whose sum is σ = 31127807692800. Its totient is φ = 2407868467200.

The previous prime is 10235340740363. The next prime is 10235340740407. The reversal of 10235340740394 is 49304704353201.

10235340740394 is a `hidden beast` number, since 1 + 0 + 23 + 534 + 0 + 7 + 4 + 0 + 3 + 94 = 666.

It is a super-2 number, since 2×10235340740394² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 99372240147 + ... + 99372240249.

It is an arithmetic number, because the mean of its divisors is an integer number (27020666400).

Almost surely, 2^{10235340740394} is an apocalyptic number.

10235340740394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10235340740394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563903846400).

10235340740394 is an abundant number, since it is smaller than the sum of its proper divisors (20892466952406).

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

10235340740394 is a wasteful number, since it uses less digits than its factorization.

10235340740394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 10235340740394 in words is "ten trillion, two hundred thirty-five billion, three hundred forty million, seven hundred forty thousand, three hundred ninety-four".