1516973498040 has 768 divisors, whose sum is σ = 6387811476480. Its totient is φ = 278305505280.

The previous prime is 1516973498003. The next prime is 1516973498057. The reversal of 1516973498040 is 408943796151.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63531544 + ... + 63555416.

It is an arithmetic number, because the mean of its divisors is an integer number (8317462860).

Almost surely, 2^{1516973498040} is an apocalyptic number.

1516973498040 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 1516973498040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193905738240).

1516973498040 is an abundant number, since it is smaller than the sum of its proper divisors (4870837978440).

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

1516973498040 is a wasteful number, since it uses less digits than its factorization.

1516973498040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23964 (or 23937 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1516973498040 in words is "one trillion, five hundred sixteen billion, nine hundred seventy-three million, four hundred ninety-eight thousand, forty".