142261647840 has 576 divisors, whose sum is σ = 546102648000. Its totient is φ = 34764816384.

The previous prime is 142261647839. The next prime is 142261647863. The reversal of 142261647840 is 48746162241.

142261647840 is a `hidden beast` number, since 1 + 4 + 22 + 616 + 4 + 7 + 8 + 4 + 0 = 666.

142261647840 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75309616 + ... + 75311504.

It is an arithmetic number, because the mean of its divisors is an integer number (948094875).

Almost surely, 2^142261647840 is an apocalyptic number.

142261647840 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 142261647840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273051324000).

142261647840 is an abundant number, since it is smaller than the sum of its proper divisors (403841000160).

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

142261647840 is a wasteful number, since it uses less digits than its factorization.

142261647840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 142261647840 in words is "one hundred forty-two billion, two hundred sixty-one million, six hundred forty-seven thousand, eight hundred forty".