3214004123040 has 96 divisors (see below), whose sum is σ = 10124368583616. Its totient is φ = 857046128640.

The previous prime is 3214004123039. The next prime is 3214004123047. The reversal of 3214004123040 is 403214004123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3214004123040.

It is not an unprimeable number, because it can be changed into a prime (3214004123047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30356595 + ... + 30462285.

It is an arithmetic number, because the mean of its divisors is an integer number (105462172746).

Almost surely, 2^{3214004123040} is an apocalyptic number.

3214004123040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214004123040 is an abundant number, since it is smaller than the sum of its proper divisors (6910364460576).

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

3214004123040 is a wasteful number, since it uses less digits than its factorization.

3214004123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169062 (or 169054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3214004123040 its reverse (403214004123), we get a palindrome (3617218127163).

The spelling of 3214004123040 in words is "three trillion, two hundred fourteen billion, four million, one hundred twenty-three thousand, forty".