40968610400735 has 16 divisors (see below), whose sum is σ = 49671423244800. Its totient is φ = 32435525262336.

The previous prime is 40968610400723. The next prime is 40968610400747. The reversal of 40968610400735 is 53700401686904.

It is an interprime number because it is at equal distance from previous prime (40968610400723) and next prime (40968610400747).

It is a cyclic number.

It is not a de Polignac number, because 40968610400735 - 2¹⁰ = 40968610399711 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8795381 + ... + 12621249.

It is an arithmetic number, because the mean of its divisors is an integer number (3104463952800).

Almost surely, 2^{40968610400735} is an apocalyptic number.

40968610400735 is a deficient number, since it is larger than the sum of its proper divisors (8702812844065).

40968610400735 is a wasteful number, since it uses less digits than its factorization.

40968610400735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848050.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 40968610400735 in words is "forty trillion, nine hundred sixty-eight billion, six hundred ten million, four hundred thousand, seven hundred thirty-five".