1010284056432 has 1200 divisors, whose sum is σ = 3665028280320. Its totient is φ = 267413529600.

The previous prime is 1010284056421. The next prime is 1010284056433. The reversal of 1010284056432 is 2346504820101.

It is a happy number.

1010284056432 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 8 + 4 + 0 + 5 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010284056433) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5644044919 + ... + 5644045097.

Almost surely, 2^{1010284056432} is an apocalyptic number.

1010284056432 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 1010284056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832514140160).

1010284056432 is an abundant number, since it is smaller than the sum of its proper divisors (2654744223888).

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

1010284056432 is a wasteful number, since it uses less digits than its factorization.

1010284056432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1010284056432 its reverse (2346504820101), we get a palindrome (3356788876533).

The spelling of 1010284056432 in words is "one trillion, ten billion, two hundred eighty-four million, fifty-six thousand, four hundred thirty-two".