4097207254140 has 3072 divisors, whose sum is σ = 19716518707200. Its totient is φ = 677221171200.

The previous prime is 4097207254139. The next prime is 4097207254169. The reversal of 4097207254140 is 414527027904.

4097207254140 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 207 + 25 + 414 + 0 = 666.

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 1023 ways as a sum of consecutive naturals, for example, 5412426642 + ... + 5412427398.

It is an arithmetic number, because the mean of its divisors is an integer number (6418137600).

Almost surely, 2^{4097207254140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097207254140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858259353600).

4097207254140 is an abundant number, since it is smaller than the sum of its proper divisors (15619311453060).

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

4097207254140 is a wasteful number, since it uses less digits than its factorization.

4097207254140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4097207254140 in words is "four trillion, ninety-seven billion, two hundred seven million, two hundred fifty-four thousand, one hundred forty".