142315040000 has 360 divisors, whose sum is σ = 408030638400. Its totient is φ = 48513024000.

The previous prime is 142315039991. The next prime is 142315040009. The reversal of 142315040000 is 40513241.

It is an interprime number because it is at equal distance from previous prime (142315039991) and next prime (142315040009).

It is a super-2 number, since 2×142315040000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142315040009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 316959776 + ... + 316960224.

It is an arithmetic number, because the mean of its divisors is an integer number (1133418440).

Almost surely, 2^142315040000 is an apocalyptic number.

142315040000 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 142315040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204015319200).

142315040000 is an abundant number, since it is smaller than the sum of its proper divisors (265715598400).

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

142315040000 is an frugal number, since it uses more digits than its factorization.

142315040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 142315040000 its reverse (40513241), we get a palindrome (142355553241).

The spelling of 142315040000 in words is "one hundred forty-two billion, three hundred fifteen million, forty thousand".