1825103629440 has 3072 divisors, whose sum is σ = 8715976704000. Its totient is φ = 352155009024.

The previous prime is 1825103629387. The next prime is 1825103629463. The reversal of 1825103629440 is 449263015281.

1825103629440 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 10 + 3 + 629 + 4 + 4 + 0 = 666.

It is a super-4 number, since 4×1825103629440⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14370894657 + ... + 14370894783.

It is an arithmetic number, because the mean of its divisors is an integer number (2837232000).

Almost surely, 2^{1825103629440} is an apocalyptic number.

1825103629440 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 1825103629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357988352000).

1825103629440 is an abundant number, since it is smaller than the sum of its proper divisors (6890873074560).

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

1825103629440 is a wasteful number, since it uses less digits than its factorization.

1825103629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1825103629440 in words is "one trillion, eight hundred twenty-five billion, one hundred three million, six hundred twenty-nine thousand, four hundred forty".