10035440021232 has 120 divisors (see below), whose sum is σ = 29314963570464. Its totient is φ = 3198769846272.

The previous prime is 10035440021177. The next prime is 10035440021273. The reversal of 10035440021232 is 23212004453001.

10035440021232 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 4 + 400 + 21 + 232 = 666.

It is a super-2 number, since 2×10035440021232² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10035440021196 and 10035440021205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10928788 + ... + 11811404.

Almost surely, 2^{10035440021232} is an apocalyptic number.

10035440021232 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 10035440021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657481785232).

10035440021232 is an abundant number, since it is smaller than the sum of its proper divisors (19279523549232).

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

10035440021232 is a wasteful number, since it uses less digits than its factorization.

10035440021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886087 (or 886078 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10035440021232 its reverse (23212004453001), we get a palindrome (33247444474233).

The spelling of 10035440021232 in words is "ten trillion, thirty-five billion, four hundred forty million, twenty-one thousand, two hundred thirty-two".