3407131415640 has 32 divisors (see below), whose sum is σ = 10221394247280. Its totient is φ = 908568377472.

The previous prime is 3407131415627. The next prime is 3407131415659. The reversal of 3407131415640 is 465141317043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14196380779 + ... + 14196381018.

Almost surely, 2^{3407131415640} is an apocalyptic number.

3407131415640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3407131415640 is an abundant number, since it is smaller than the sum of its proper divisors (6814262831640).

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

3407131415640 is a wasteful number, since it uses less digits than its factorization.

3407131415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28392761811 (or 28392761807 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 3407131415640 in words is "three trillion, four hundred seven billion, one hundred thirty-one million, four hundred fifteen thousand, six hundred forty".