3915459000000 has 1372 divisors, whose sum is σ = 15030436201704. Its totient is φ = 1010880000000.

The previous prime is 3915458999983. The next prime is 3915459000049. The reversal of 3915459000000 is 9545193.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 29888999935 + ... + 29889000065.

Almost surely, 2^{3915459000000} is an apocalyptic number.

3915459000000 is a gapful number since it is divisible by the number (30) 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 3915459000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515218100852).

3915459000000 is an abundant number, since it is smaller than the sum of its proper divisors (11114977201704).

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

3915459000000 is an frugal number, since it uses more digits than its factorization.

3915459000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 3915459000000 in words is "three trillion, nine hundred fifteen billion, four hundred fifty-nine million", and thus it is an aban number.