42405210511000 has 128 divisors (see below), whose sum is σ = 99866216136960. Its totient is φ = 16853189184000.

The previous prime is 42405210510989. The next prime is 42405210511063. The reversal of 42405210511000 is 11501250424.

It is a super-2 number, since 2×42405210511000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202072129 + ... + 202281871.

It is an arithmetic number, because the mean of its divisors is an integer number (780204813570).

Almost surely, 2^{42405210511000} is an apocalyptic number.

42405210511000 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 42405210511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933108068480).

42405210511000 is an abundant number, since it is smaller than the sum of its proper divisors (57461005625960).

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

42405210511000 is a wasteful number, since it uses less digits than its factorization.

42405210511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211062 (or 211048 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 42405210511000 its reverse (11501250424), we get a palindrome (42416711761424).

The spelling of 42405210511000 in words is "forty-two trillion, four hundred five billion, two hundred ten million, five hundred eleven thousand".