3142344032040 has 128 divisors (see below), whose sum is σ = 9753876662400. Its totient is φ = 808916075520.

The previous prime is 3142344031993. The next prime is 3142344032053. The reversal of 3142344032040 is 402304432413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3142344031989 and 3142344032007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19732335 + ... + 19890945.

It is an arithmetic number, because the mean of its divisors is an integer number (76202161425).

Almost surely, 2^{3142344032040} is an apocalyptic number.

3142344032040 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 3142344032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876938331200).

3142344032040 is an abundant number, since it is smaller than the sum of its proper divisors (6611532630360).

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

3142344032040 is a wasteful number, since it uses less digits than its factorization.

3142344032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164347 (or 164343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3142344032040 its reverse (402304432413), we get a palindrome (3544648464453).

The spelling of 3142344032040 in words is "three trillion, one hundred forty-two billion, three hundred forty-four million, thirty-two thousand, forty".