42124323515040 has 432 divisors, whose sum is σ = 155692899048960. Its totient is φ = 10366704691200.

The previous prime is 42124323514969. The next prime is 42124323515047. The reversal of 42124323515040 is 4051532342124.

It is a happy number.

42124323515040 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 432 + 35 + 150 + 40 = 666.

It is a super-2 number, since 2×42124323515040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42124323514986 and 42124323515004.

It is not an unprimeable number, because it can be changed into a prime (42124323515047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1226273865 + ... + 1226308215.

It is an arithmetic number, because the mean of its divisors is an integer number (360400229280).

Almost surely, 2^{42124323515040} is an apocalyptic number.

42124323515040 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 42124323515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77846449524480).

42124323515040 is an abundant number, since it is smaller than the sum of its proper divisors (113568575533920).

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

42124323515040 is a wasteful number, since it uses less digits than its factorization.

42124323515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39437 (or 39413 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42124323515040 its reverse (4051532342124), we get a palindrome (46175855857164).

The spelling of 42124323515040 in words is "forty-two trillion, one hundred twenty-four billion, three hundred twenty-three million, five hundred fifteen thousand, forty".