4016402046657 has 192 divisors, whose sum is σ = 8681674659840. Its totient is φ = 1717251840000.

The previous prime is 4016402046653. The next prime is 4016402046673. The reversal of 4016402046657 is 7566402046104.

4016402046657 is a `hidden beast` number, since 4 + 0 + 164 + 0 + 20 + 466 + 5 + 7 = 666.

It is not a de Polignac number, because 4016402046657 - 2² = 4016402046653 is a prime.

It is a super-2 number, since 2×4016402046657² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4016402046653) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2219782 + ... + 3600032.

It is an arithmetic number, because the mean of its divisors is an integer number (45217055520).

Almost surely, 2^{4016402046657} is an apocalyptic number.

It is an amenable number.

4016402046657 is an abundant number, since it is smaller than the sum of its proper divisors (4665272613183).

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

4016402046657 is a wasteful number, since it uses less digits than its factorization.

4016402046657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380324 (or 1380321 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4016402046657 in words is "four trillion, sixteen billion, four hundred two million, forty-six thousand, six hundred fifty-seven".