142360202144040 has 256 divisors, whose sum is σ = 445854431704320. Its totient is φ = 36327876157440.

The previous prime is 142360202143997. The next prime is 142360202144047. The reversal of 142360202144040 is 40441202063241.

It is a junction number, because it is equal to n+sod(n) for n = 142360202143992 and 142360202144010.

It is not an unprimeable number, because it can be changed into a prime (142360202144047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4637577972 + ... + 4637608668.

It is an arithmetic number, because the mean of its divisors is an integer number (1741618873845).

Almost surely, 2^{142360202144040} is an apocalyptic number.

142360202144040 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 142360202144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222927215852160).

142360202144040 is an abundant number, since it is smaller than the sum of its proper divisors (303494229560280).

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

142360202144040 is a wasteful number, since it uses less digits than its factorization.

142360202144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47932 (or 47928 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 142360202144040 in words is "one hundred forty-two trillion, three hundred sixty billion, two hundred two million, one hundred forty-four thousand, forty".