3401401152240 has 720 divisors, whose sum is σ = 14934862732608. Its totient is φ = 675439312896.

The previous prime is 3401401152197. The next prime is 3401401152277. The reversal of 3401401152240 is 422511041043.

3401401152240 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 401 + 15 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18845464 + ... + 19025096.

Almost surely, 2^{3401401152240} is an apocalyptic number.

3401401152240 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 3401401152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467431366304).

3401401152240 is an abundant number, since it is smaller than the sum of its proper divisors (11533461580368).

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

3401401152240 is a wasteful number, since it uses less digits than its factorization.

3401401152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179706 (or 179680 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 3401401152240 its reverse (422511041043), we get a palindrome (3823912193283).

The spelling of 3401401152240 in words is "three trillion, four hundred one billion, four hundred one million, one hundred fifty-two thousand, two hundred forty".