1531425040000 has 160 divisors (see below), whose sum is σ = 3943854515700. Its totient is φ = 591446016000.

The previous prime is 1531425039997. The next prime is 1531425040007. The reversal of 1531425040000 is 405241351.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3392829504 + 1528032210496 = 58248^2 + 1236136^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1531425040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1989952 + ... + 2650048.

Almost surely, 2^{1531425040000} is an apocalyptic number.

1531425040000 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 1531425040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971927257850).

1531425040000 is an abundant number, since it is smaller than the sum of its proper divisors (2412429475700).

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

1531425040000 is an frugal number, since it uses more digits than its factorization.

1531425040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660160 (or 660133 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1531425040000 in words is "one trillion, five hundred thirty-one billion, four hundred twenty-five million, forty thousand".