1024011020032 has 216 divisors, whose sum is σ = 2765219823968. Its totient is φ = 368274677760.

The previous prime is 1024011020009. The next prime is 1024011020051. The reversal of 1024011020032 is 2300201104201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1024011019988 and 1024011020015.

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, 2637178 + ... + 3000454.

Almost surely, 2^{1024011020032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024011020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382609911984).

1024011020032 is an abundant number, since it is smaller than the sum of its proper divisors (1741208803936).

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

1024011020032 is a wasteful number, since it uses less digits than its factorization.

1024011020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363335 (or 363310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1024011020032 its reverse (2300201104201), we get a palindrome (3324212124233).

The spelling of 1024011020032 in words is "one trillion, twenty-four billion, eleven million, twenty thousand, thirty-two".