42000352943040 has 280 divisors, whose sum is σ = 149410067460192. Its totient is φ = 11199537653760.

The previous prime is 42000352943039. The next prime is 42000352943077. The reversal of 42000352943040 is 4034925300024.

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 = 42000352942986 and 42000352943004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1042767382 + ... + 1042807658.

Almost surely, 2^{42000352943040} is an apocalyptic number.

42000352943040 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 42000352943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74705033730096).

42000352943040 is an abundant number, since it is smaller than the sum of its proper divisors (107409714517152).

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

42000352943040 is a wasteful number, since it uses less digits than its factorization.

42000352943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80537 (or 80518 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42000352943040 in words is "forty-two trillion, three hundred fifty-two million, nine hundred forty-three thousand, forty".