3815197010240 has 448 divisors, whose sum is σ = 11845806501888. Its totient is φ = 1134884044800.

The previous prime is 3815197010221. The next prime is 3815197010243. The reversal of 3815197010240 is 420107915183.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3815197010243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258983675 + ... + 258998405.

Almost surely, 2^{3815197010240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3815197010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922903250944).

3815197010240 is an abundant number, since it is smaller than the sum of its proper divisors (8030609491648).

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

3815197010240 is a wasteful number, since it uses less digits than its factorization.

3815197010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15246 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 3815197010240 in words is "three trillion, eight hundred fifteen billion, one hundred ninety-seven million, ten thousand, two hundred forty".