42014400241032 has 192 divisors, whose sum is σ = 124956073569600. Its totient is φ = 13179797452800.

The previous prime is 42014400240991. The next prime is 42014400241063. The reversal of 42014400241032 is 23014200441024.

42014400241032 is a `hidden beast` number, since 4 + 2 + 0 + 14 + 400 + 241 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×42014400241032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42014400240987 and 42014400241005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410041407 + ... + 410143857.

It is an arithmetic number, because the mean of its divisors is an integer number (650812883175).

Almost surely, 2^{42014400241032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014400241032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62478036784800).

42014400241032 is an abundant number, since it is smaller than the sum of its proper divisors (82941673328568).

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

42014400241032 is a wasteful number, since it uses less digits than its factorization.

42014400241032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114898 (or 114882 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42014400241032 its reverse (23014200441024), we get a palindrome (65028600682056).

The spelling of 42014400241032 in words is "forty-two trillion, fourteen billion, four hundred million, two hundred forty-one thousand, thirty-two".