10435402645332 has 96 divisors (see below), whose sum is σ = 28114723338240. Its totient is φ = 2950857164160.

The previous prime is 10435402645331. The next prime is 10435402645333. The reversal of 10435402645332 is 23354620453401.

It is an interprime number because it is at equal distance from previous prime (10435402645331) and next prime (10435402645333).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10435402645331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7478907 + ... + 8763837.

It is an arithmetic number, because the mean of its divisors is an integer number (292861701440).

Almost surely, 2^{10435402645332} is an apocalyptic number.

10435402645332 is a gapful number since it is divisible by the number (12) 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 10435402645332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057361669120).

10435402645332 is an abundant number, since it is smaller than the sum of its proper divisors (17679320692908).

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

10435402645332 is a wasteful number, since it uses less digits than its factorization.

10435402645332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285941 (or 1285939 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 10435402645332 in words is "ten trillion, four hundred thirty-five billion, four hundred two million, six hundred forty-five thousand, three hundred thirty-two".