10477300377401 has 16 divisors (see below), whose sum is σ = 12430867514688. Its totient is φ = 8705089272000.

The previous prime is 10477300377359. The next prime is 10477300377413.

10477300377401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10477300377401 - 2¹⁸ = 10477300115257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10477300377421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362697611 + ... + 362726496.

It is an arithmetic number, because the mean of its divisors is an integer number (776929219668).

Almost surely, 2^{10477300377401} is an apocalyptic number.

10477300377401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10477300377401 is a deficient number, since it is larger than the sum of its proper divisors (1953567137287).

10477300377401 is a wasteful number, since it uses less digits than its factorization.

10477300377401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725424232.

The product of its (nonzero) digits is 345744, while the sum is 44.

The spelling of 10477300377401 in words is "ten trillion, four hundred seventy-seven billion, three hundred million, three hundred seventy-seven thousand, four hundred one".