3142009554480 has 640 divisors, whose sum is σ = 12074205772800. Its totient is φ = 746335420416.

The previous prime is 3142009554401. The next prime is 3142009554491. The reversal of 3142009554480 is 844559002413.

3142009554480 is a `hidden beast` number, since 3 + 1 + 4 + 20 + 0 + 9 + 5 + 544 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1062565162 + ... + 1062568118.

It is an arithmetic number, because the mean of its divisors is an integer number (18865946520).

Almost surely, 2^{3142009554480} is an apocalyptic number.

3142009554480 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 3142009554480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037102886400).

3142009554480 is an abundant number, since it is smaller than the sum of its proper divisors (8932196218320).

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

3142009554480 is a wasteful number, since it uses less digits than its factorization.

3142009554480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 3142009554480 in words is "three trillion, one hundred forty-two billion, nine million, five hundred fifty-four thousand, four hundred eighty".