40031342142000 has 640 divisors, whose sum is σ = 144676282982400. Its totient is φ = 9437243904000.

The previous prime is 40031342141993. The next prime is 40031342142047. The reversal of 40031342142000 is 24124313004.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 6639794986 + ... + 6639801014.

It is an arithmetic number, because the mean of its divisors is an integer number (226056692160).

Almost surely, 2^{40031342142000} is an apocalyptic number.

40031342142000 is a gapful number since it is divisible by the number (40) 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 40031342142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72338141491200).

40031342142000 is an abundant number, since it is smaller than the sum of its proper divisors (104644940840400).

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

40031342142000 is a wasteful number, since it uses less digits than its factorization.

40031342142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40031342142000 its reverse (24124313004), we get a palindrome (40055466455004).

The spelling of 40031342142000 in words is "forty trillion, thirty-one billion, three hundred forty-two million, one hundred forty-two thousand".