10142015400 has 192 divisors, whose sum is σ = 38109614400. Its totient is φ = 2458656000.

The previous prime is 10142015383. The next prime is 10142015419. The reversal of 10142015400 is 451024101.

10142015400 is a `hidden beast` number, since 101 + 4 + 20 + 1 + 540 + 0 = 666.

10142015400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25971 + ... + 144770.

It is an arithmetic number, because the mean of its divisors is an integer number (198487575).

Almost surely, 2^10142015400 is an apocalyptic number.

10142015400 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 10142015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054807200).

10142015400 is an abundant number, since it is smaller than the sum of its proper divisors (27967599000).

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

10142015400 is a wasteful number, since it uses less digits than its factorization.

10142015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170777 (or 170762 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10142015400 its reverse (451024101), we get a palindrome (10593039501).

The spelling of 10142015400 in words is "ten billion, one hundred forty-two million, fifteen thousand, four hundred".