42132213025040 has 80 divisors (see below), whose sum is σ = 98609355650880. Its totient is φ = 16740920163840.

The previous prime is 42132213025033. The next prime is 42132213025081. The reversal of 42132213025040 is 4052031223124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42132213024994 and 42132213025012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11911787 + ... + 15038453.

It is an arithmetic number, because the mean of its divisors is an integer number (1232616945636).

Almost surely, 2^{42132213025040} is an apocalyptic number.

42132213025040 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 42132213025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49304677825440).

42132213025040 is an abundant number, since it is smaller than the sum of its proper divisors (56477142625840).

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

42132213025040 is a wasteful number, since it uses less digits than its factorization.

42132213025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127800 (or 3127794 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 42132213025040 its reverse (4052031223124), we get a palindrome (46184244248164).

The spelling of 42132213025040 in words is "forty-two trillion, one hundred thirty-two billion, two hundred thirteen million, twenty-five thousand, forty".