1512661440 has 224 divisors, whose sum is σ = 5103083520. Its totient is φ = 378556416.

The previous prime is 1512661433. The next prime is 1512661453. The reversal of 1512661440 is 441662151.

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 = 1512661398 and 1512661407.

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, 2316154 + ... + 2316806.

Almost surely, 2^1512661440 is an apocalyptic number.

1512661440 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 1512661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551541760).

1512661440 is an abundant number, since it is smaller than the sum of its proper divisors (3590422080).

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

1512661440 is a wasteful number, since it uses less digits than its factorization.

1512661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1512661440 is about 38892.9484611285. The cubic root of 1512661440 is about 1147.9260515605.

The spelling of 1512661440 in words is "one billion, five hundred twelve million, six hundred sixty-one thousand, four hundred forty".