3142688440320 has 2128 divisors, whose sum is σ = 13863121356672. Its totient is φ = 672682475520.

The previous prime is 3142688440313. The next prime is 3142688440337. The reversal of 3142688440320 is 230448862413.

It is a happy number.

3142688440320 is a `hidden beast` number, since 3 + 142 + 6 + 8 + 84 + 403 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 136638627829 + ... + 136638627851.

Almost surely, 2^{3142688440320} is an apocalyptic number.

3142688440320 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 3142688440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931560678336).

3142688440320 is an abundant number, since it is smaller than the sum of its proper divisors (10720432916352).

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

3142688440320 is an frugal number, since it uses more digits than its factorization.

3142688440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3142688440320 in words is "three trillion, one hundred forty-two billion, six hundred eighty-eight million, four hundred forty thousand, three hundred twenty".