10400136120 has 192 divisors, whose sum is σ = 37870316640. Its totient is φ = 2453068800.

The previous prime is 10400136073. The next prime is 10400136127. The reversal of 10400136120 is 2163100401.

It is a happy number.

10400136120 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 13 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10400136093 and 10400136102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400136127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111030 + ... + 182010.

Almost surely, 2^10400136120 is an apocalyptic number.

10400136120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400136120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935158320).

10400136120 is an abundant number, since it is smaller than the sum of its proper divisors (27470180520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400136120 is a wasteful number, since it uses less digits than its factorization.

10400136120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71046 (or 71039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10400136120 its reverse (2163100401), we get a palindrome (12563236521).

The spelling of 10400136120 in words is "ten billion, four hundred million, one hundred thirty-six thousand, one hundred twenty".