1023434617900 has 144 divisors (see below), whose sum is σ = 2352087456768. Its totient is φ = 385729344000.

The previous prime is 1023434617871. The next prime is 1023434617901. The reversal of 1023434617900 is 97164343201.

It is a super-2 number, since 2×1023434617900² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023434617901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152953555 + ... + 152960245.

It is an arithmetic number, because the mean of its divisors is an integer number (16333940672).

Almost surely, 2^{1023434617900} is an apocalyptic number.

1023434617900 is a gapful number since it is divisible by the number (10) 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 1023434617900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176043728384).

1023434617900 is an abundant number, since it is smaller than the sum of its proper divisors (1328652838868).

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

1023434617900 is a wasteful number, since it uses less digits than its factorization.

1023434617900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 1023434617900 in words is "one trillion, twenty-three billion, four hundred thirty-four million, six hundred seventeen thousand, nine hundred".