42144131040000 has 720 divisors, whose sum is σ = 160951037681280. Its totient is φ = 9679011840000.

The previous prime is 42144131039987. The next prime is 42144131040023. The reversal of 42144131040000 is 4013144124.

It is a super-2 number, since 2×42144131040000² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 100109952 + ... + 100530048.

Almost surely, 2^{42144131040000} is an apocalyptic number.

42144131040000 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 42144131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80475518840640).

42144131040000 is an abundant number, since it is smaller than the sum of its proper divisors (118806906641280).

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

42144131040000 is a wasteful number, since it uses less digits than its factorization.

42144131040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420166 (or 420137 counting only the distinct ones).

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

Adding to 42144131040000 its reverse (4013144124), we get a palindrome (42148144184124).

The spelling of 42144131040000 in words is "forty-two trillion, one hundred forty-four billion, one hundred thirty-one million, forty thousand".