42033012525210 has 256 divisors, whose sum is σ = 119168447643648. Its totient is φ = 9289872076800.

The previous prime is 42033012525193. The next prime is 42033012525221. The reversal of 42033012525210 is 1252521033024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346800820 + ... + 346922000.

It is an arithmetic number, because the mean of its divisors is an integer number (465501748608).

Almost surely, 2^{42033012525210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42033012525210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59584223821824).

42033012525210 is an abundant number, since it is smaller than the sum of its proper divisors (77135435118438).

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

42033012525210 is a wasteful number, since it uses less digits than its factorization.

42033012525210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121669.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 42033012525210 its reverse (1252521033024), we get a palindrome (43285533558234).

The spelling of 42033012525210 in words is "forty-two trillion, thirty-three billion, twelve million, five hundred twenty-five thousand, two hundred ten".