1534225440000 has 720 divisors, whose sum is σ = 5591743819200. Its totient is φ = 370237440000.

The previous prime is 1534225439959. The next prime is 1534225440023. The reversal of 1534225440000 is 445224351.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1534225440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1462559476 + ... + 1462560524.

It is an arithmetic number, because the mean of its divisors is an integer number (7766310860).

Almost surely, 2^{1534225440000} is an apocalyptic number.

1534225440000 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 1534225440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795871909600).

1534225440000 is an abundant number, since it is smaller than the sum of its proper divisors (4057518379200).

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

1534225440000 is a wasteful number, since it uses less digits than its factorization.

1534225440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 1534225440000 in words is "one trillion, five hundred thirty-four billion, two hundred twenty-five million, four hundred forty thousand".