3159505440000 has 4320 divisors, whose sum is σ = 15619336212480. Its totient is φ = 618098688000.

The previous prime is 3159505439989. The next prime is 3159505440031. The reversal of 3159505440000 is 445059513.

3159505440000 is a `hidden beast` number, since 3 + 159 + 50 + 54 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 67223519977 + ... + 67223520023.

Almost surely, 2^{3159505440000} is an apocalyptic number.

3159505440000 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 3159505440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809668106240).

3159505440000 is an abundant number, since it is smaller than the sum of its proper divisors (12459830772480).

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

3159505440000 is an equidigital number, since it uses as much as digits as its factorization.

3159505440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

It can be divided in two parts, 3159 and 505440000, that multiplied together give a square (1596684960000 = 1263600²).

The spelling of 3159505440000 in words is "three trillion, one hundred fifty-nine billion, five hundred five million, four hundred forty thousand".