3401493258240 has 4032 divisors, whose sum is σ = 16991839463040. Its totient is φ = 618324295680.

The previous prime is 3401493258209. The next prime is 3401493258253. The reversal of 3401493258240 is 428523941043.

3401493258240 is a `hidden beast` number, since 3 + 40 + 1 + 49 + 325 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64179118054 + ... + 64179118106.

Almost surely, 2^{3401493258240} is an apocalyptic number.

3401493258240 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 3401493258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495919731520).

3401493258240 is an abundant number, since it is smaller than the sum of its proper divisors (13590346204800).

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

3401493258240 is a wasteful number, since it uses less digits than its factorization.

3401493258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3401493258240 in words is "three trillion, four hundred one billion, four hundred ninety-three million, two hundred fifty-eight thousand, two hundred forty".