1004224251540 has 96 divisors (see below), whose sum is σ = 2935398445056. Its totient is φ = 256034965120.

The previous prime is 1004224251493. The next prime is 1004224251557. The reversal of 1004224251540 is 451524224001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1004224251498 and 1004224251507.

It is a congruent number.

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, 2933125 + ... + 3257555.

It is an arithmetic number, because the mean of its divisors is an integer number (30577067136).

Almost surely, 2^{1004224251540} is an apocalyptic number.

1004224251540 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 1004224251540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467699222528).

1004224251540 is an abundant number, since it is smaller than the sum of its proper divisors (1931174193516).

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

1004224251540 is a wasteful number, since it uses less digits than its factorization.

1004224251540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326709 (or 326707 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1004224251540 its reverse (451524224001), we get a palindrome (1455748475541).

The spelling of 1004224251540 in words is "one trillion, four billion, two hundred twenty-four million, two hundred fifty-one thousand, five hundred forty".