3401071914240 has 3456 divisors, whose sum is σ = 17064989061120. Its totient is φ = 603646525440.

The previous prime is 3401071914173. The next prime is 3401071914269. The reversal of 3401071914240 is 424191701043.

3401071914240 is a `hidden beast` number, since 3 + 40 + 1 + 0 + 7 + 191 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3401071914195 and 3401071914204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79094695659 + ... + 79094695701.

Almost surely, 2^{3401071914240} is an apocalyptic number.

3401071914240 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 3401071914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532494530560).

3401071914240 is an abundant number, since it is smaller than the sum of its proper divisors (13663917146880).

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

3401071914240 is a wasteful number, since it uses less digits than its factorization.

3401071914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3401071914240 in words is "three trillion, four hundred one billion, seventy-one million, nine hundred fourteen thousand, two hundred forty".