400046681214145 has 64 divisors (see below), whose sum is σ = 578241534689280. Its totient is φ = 259551272636928.

The previous prime is 400046681214137. The next prime is 400046681214149. The reversal of 400046681214145 is 541412186640004.

It is a cyclic number.

It is not a de Polignac number, because 400046681214145 - 2³ = 400046681214137 is a prime.

It is a super-4 number, since 4×400046681214145⁴ (a number of 60 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400046681214095 and 400046681214104.

It is not an unprimeable number, because it can be changed into a prime (400046681214149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6362742429 + ... + 6362805301.

It is an arithmetic number, because the mean of its divisors is an integer number (9035023979520).

Almost surely, 2^{400046681214145} is an apocalyptic number.

It is an amenable number.

400046681214145 is a deficient number, since it is larger than the sum of its proper divisors (178194853475135).

400046681214145 is a wasteful number, since it uses less digits than its factorization.

400046681214145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74854.

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 400046681214145 in words is "four hundred trillion, forty-six billion, six hundred eighty-one million, two hundred fourteen thousand, one hundred forty-five".