1023204515400 has 144 divisors (see below), whose sum is σ = 3454067469060. Its totient is φ = 271440691200.

The previous prime is 1023204515393. The next prime is 1023204515513. The reversal of 1023204515400 is 45154023201.

1023204515400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 204 + 51 + 5 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 591216436836 + 431988078564 = 768906^2 + 657258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1125261 + ... + 1820060.

Almost surely, 2^{1023204515400} is an apocalyptic number.

1023204515400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023204515400 is an abundant number, since it is smaller than the sum of its proper divisors (2430862953660).

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

1023204515400 is a wasteful number, since it uses less digits than its factorization.

1023204515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945536 (or 2945524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1023204515400 its reverse (45154023201), we get a palindrome (1068358538601).

The spelling of 1023204515400 in words is "one trillion, twenty-three billion, two hundred four million, five hundred fifteen thousand, four hundred".