10142447940 has 192 divisors, whose sum is σ = 33061969920. Its totient is φ = 2578055040.

The previous prime is 10142447899. The next prime is 10142447951. The reversal of 10142447940 is 4974424101.

10142447940 is a `hidden beast` number, since 1 + 0 + 142 + 4 + 479 + 40 = 666.

It is a super-2 number, since 2×10142447940² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10142447895 and 10142447904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117059 + ... + 1126101.

It is an arithmetic number, because the mean of its divisors is an integer number (172197760).

Almost surely, 2^10142447940 is an apocalyptic number.

10142447940 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 10142447940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530984960).

10142447940 is an abundant number, since it is smaller than the sum of its proper divisors (22919521980).

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

10142447940 is a wasteful number, since it uses less digits than its factorization.

10142447940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10142447940 in words is "ten billion, one hundred forty-two million, four hundred forty-seven thousand, nine hundred forty".