40302140100144 has 120 divisors (see below), whose sum is σ = 112748451494400. Its totient is φ = 12399583562496.

The previous prime is 40302140100073. The next prime is 40302140100191. The reversal of 40302140100144 is 44100104120304.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96023257 + ... + 96442055.

It is an arithmetic number, because the mean of its divisors is an integer number (939570429120).

Almost surely, 2^{40302140100144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40302140100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56374225747200).

40302140100144 is an abundant number, since it is smaller than the sum of its proper divisors (72446311394256).

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

40302140100144 is a wasteful number, since it uses less digits than its factorization.

40302140100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430699 (or 430680 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40302140100144 its reverse (44100104120304), we get a palindrome (84402244220448).

The spelling of 40302140100144 in words is "forty trillion, three hundred two billion, one hundred forty million, one hundred thousand, one hundred forty-four".