1004224251330 has 64 divisors (see below), whose sum is σ = 2678023555200. Its totient is φ = 267783912000.

The previous prime is 1004224251323. The next prime is 1004224251353. The reversal of 1004224251330 is 331524224001.

1004224251330 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 242 + 51 + 330 = 666.

It is a super-3 number, since 3×1004224251330³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1004224251294 and 1004224251303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11973481 + ... + 12057059.

It is an arithmetic number, because the mean of its divisors is an integer number (41844118050).

Almost surely, 2^{1004224251330} is an apocalyptic number.

1004224251330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004224251330 is an abundant number, since it is smaller than the sum of its proper divisors (1673799303870).

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

1004224251330 is a wasteful number, since it uses less digits than its factorization.

1004224251330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128096 (or 128090 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1004224251330 its reverse (331524224001), we get a palindrome (1335748475331).

The spelling of 1004224251330 in words is "one trillion, four billion, two hundred twenty-four million, two hundred fifty-one thousand, three hundred thirty".