302114400042 has 128 divisors (see below), whose sum is σ = 747590860800. Its totient is φ = 79259222016.

The previous prime is 302114400037. The next prime is 302114400067. The reversal of 302114400042 is 240004411203.

It is a super-2 number, since 2×302114400042² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 302114399991 and 302114400018.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90750634 + ... + 90753962.

It is an arithmetic number, because the mean of its divisors is an integer number (5840553600).

Almost surely, 2^302114400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302114400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373795430400).

302114400042 is an abundant number, since it is smaller than the sum of its proper divisors (445476460758).

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

302114400042 is a wasteful number, since it uses less digits than its factorization.

302114400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 302114400042 its reverse (240004411203), we get a palindrome (542118811245).

The spelling of 302114400042 in words is "three hundred two billion, one hundred fourteen million, four hundred thousand, forty-two".