10401642135 has 40 divisors (see below), whose sum is σ = 19288890720. Its totient is φ = 5356241856.

The previous prime is 10401642101. The next prime is 10401642137. The reversal of 10401642135 is 53124610401.

It is a happy number.

10401642135 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 642 + 13 + 5 = 666.

It is not a de Polignac number, because 10401642135 - 2⁷ = 10401642007 is a prime.

It is a super-3 number, since 3×10401642135³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10401642099 and 10401642108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401642137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431067 + ... + 454556.

It is an arithmetic number, because the mean of its divisors is an integer number (482222268).

Almost surely, 2^10401642135 is an apocalyptic number.

10401642135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10401642135 is a deficient number, since it is larger than the sum of its proper divisors (8887248585).

10401642135 is an equidigital number, since it uses as much as digits as its factorization.

10401642135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885669 (or 885660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10401642135 in words is "ten billion, four hundred one million, six hundred forty-two thousand, one hundred thirty-five".