10040048686905 has 64 divisors (see below), whose sum is σ = 16483786260480. Its totient is φ = 5216264352000.

The previous prime is 10040048686901. The next prime is 10040048686931. The reversal of 10040048686905 is 50968684004001.

It is not a de Polignac number, because 10040048686905 - 2² = 10040048686901 is a prime.

It is a super-3 number, since 3×10040048686905³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10040048686901) 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, 253395186 + ... + 253434804.

It is an arithmetic number, because the mean of its divisors is an integer number (257559160320).

Almost surely, 2^{10040048686905} is an apocalyptic number.

10040048686905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10040048686905 is a deficient number, since it is larger than the sum of its proper divisors (6443737573575).

10040048686905 is a wasteful number, since it uses less digits than its factorization.

10040048686905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41942.

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 10040048686905 in words is "ten trillion, forty billion, forty-eight million, six hundred eighty-six thousand, nine hundred five".