1521540042240 has 320 divisors, whose sum is σ = 5147189701632. Its totient is φ = 382633574400.

The previous prime is 1521540042233. The next prime is 1521540042247. The reversal of 1521540042240 is 422400451251.

It is an interprime number because it is at equal distance from previous prime (1521540042233) and next prime (1521540042247).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1521540042198 and 1521540042207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521540042247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12480780 + ... + 12602100.

Almost surely, 2^{1521540042240} is an apocalyptic number.

1521540042240 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 1521540042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573594850816).

1521540042240 is an abundant number, since it is smaller than the sum of its proper divisors (3625649659392).

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

1521540042240 is a wasteful number, since it uses less digits than its factorization.

1521540042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121441 (or 121425 counting only the distinct ones).

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

Adding to 1521540042240 its reverse (422400451251), we get a palindrome (1943940493491).

The spelling of 1521540042240 in words is "one trillion, five hundred twenty-one billion, five hundred forty million, forty-two thousand, two hundred forty".