1010223002400 has 144 divisors (see below), whose sum is σ = 3288632514048. Its totient is φ = 269363584000.

The previous prime is 1010223002387. The next prime is 1010223002407. The reversal of 1010223002400 is 42003220101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010223002400.

It is not an unprimeable number, because it can be changed into a prime (1010223002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30753985 + ... + 30786815.

It is an arithmetic number, because the mean of its divisors is an integer number (22837725792).

Almost surely, 2^{1010223002400} is an apocalyptic number.

1010223002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010223002400 is an abundant number, since it is smaller than the sum of its proper divisors (2278409511648).

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

1010223002400 is a wasteful number, since it uses less digits than its factorization.

1010223002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45675 (or 45662 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1010223002400 its reverse (42003220101), we get a palindrome (1052226222501).

The spelling of 1010223002400 in words is "one trillion, ten billion, two hundred twenty-three million, two thousand, four hundred".