407084566941 has 128 divisors (see below), whose sum is σ = 682660016640. Its totient is φ = 238097885184.

The previous prime is 407084566939. The next prime is 407084566943. The reversal of 407084566941 is 149665480704.

407084566941 is a `hidden beast` number, since 4 + 0 + 70 + 8 + 4 + 566 + 9 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (407084566939) and next prime (407084566943).

It is not a de Polignac number, because 407084566941 - 2¹ = 407084566939 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407084566943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101439451 + ... + 101443463.

It is an arithmetic number, because the mean of its divisors is an integer number (5333281380).

Almost surely, 2^407084566941 is an apocalyptic number.

It is an amenable number.

407084566941 is a deficient number, since it is larger than the sum of its proper divisors (275575449699).

407084566941 is a wasteful number, since it uses less digits than its factorization.

407084566941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 407084566941 in words is "four hundred seven billion, eighty-four million, five hundred sixty-six thousand, nine hundred forty-one".