40952628517833 has 160 divisors (see below), whose sum is σ = 62937482854400. Its totient is φ = 26532369072000.

The previous prime is 40952628517807. The next prime is 40952628517873. The reversal of 40952628517833 is 33871582625904.

40952628517833 is a `hidden beast` number, since 4 + 0 + 9 + 52 + 62 + 8 + 517 + 8 + 3 + 3 = 666.

It is not a de Polignac number, because 40952628517833 - 2¹⁰ = 40952628516809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40952628517873) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41324548968 + ... + 41324549958.

It is an arithmetic number, because the mean of its divisors is an integer number (393359267840).

It is a 1-persistent number, because it is pandigital, but 2⋅40952628517833 = 81905257035666 is not.

Almost surely, 2^{40952628517833} is an apocalyptic number.

It is an amenable number.

40952628517833 is a deficient number, since it is larger than the sum of its proper divisors (21984854336567).

40952628517833 is a wasteful number, since it uses less digits than its factorization.

40952628517833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 40952628517833 in words is "forty trillion, nine hundred fifty-two billion, six hundred twenty-eight million, five hundred seventeen thousand, eight hundred thirty-three".