1023400435332 has 96 divisors (see below), whose sum is σ = 2668484206080. Its totient is φ = 302581601280.

The previous prime is 1023400435331. The next prime is 1023400435357. The reversal of 1023400435332 is 2335340043201.

It is a super-2 number, since 2×1023400435332² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023400435332.

It is not an unprimeable number, because it can be changed into a prime (1023400435331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5175963 + ... + 5370045.

It is an arithmetic number, because the mean of its divisors is an integer number (27796710480).

Almost surely, 2^{1023400435332} is an apocalyptic number.

1023400435332 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 1023400435332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334242103040).

1023400435332 is an abundant number, since it is smaller than the sum of its proper divisors (1645083770748).

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

1023400435332 is a wasteful number, since it uses less digits than its factorization.

1023400435332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195073 (or 195071 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 1023400435332 its reverse (2335340043201), we get a palindrome (3358740478533).

The spelling of 1023400435332 in words is "one trillion, twenty-three billion, four hundred million, four hundred thirty-five thousand, three hundred thirty-two".