10420367418135 has 144 divisors (see below), whose sum is σ = 18987957885312. Its totient is φ = 5488985088000.

The previous prime is 10420367418101. The next prime is 10420367418143. The reversal of 10420367418135 is 53181476302401.

10420367418135 is a `hidden beast` number, since 1 + 0 + 42 + 0 + 3 + 67 + 418 + 135 = 666.

10420367418135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10420367418135 - 2⁹ = 10420367417623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1428030807 + ... + 1428038103.

It is an arithmetic number, because the mean of its divisors is an integer number (131860818648).

Almost surely, 2^{10420367418135} is an apocalyptic number.

10420367418135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10420367418135 is a deficient number, since it is larger than the sum of its proper divisors (8567590467177).

10420367418135 is an frugal number, since it uses more digits than its factorization.

10420367418135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10420367418135 in words is "ten trillion, four hundred twenty billion, three hundred sixty-seven million, four hundred eighteen thousand, one hundred thirty-five".