42402504144 has 320 divisors, whose sum is σ = 149858408448. Its totient is φ = 9974016000.

The previous prime is 42402504143. The next prime is 42402504169. The reversal of 42402504144 is 44140520424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402504143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2538219 + ... + 2554869.

Almost surely, 2^42402504144 is an apocalyptic number.

42402504144 is a gapful number since it is divisible by the number (44) 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 42402504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74929204224).

42402504144 is an abundant number, since it is smaller than the sum of its proper divisors (107455904304).

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

42402504144 is a wasteful number, since it uses less digits than its factorization.

42402504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16746 (or 16740 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 42402504144 in words is "forty-two billion, four hundred two million, five hundred four thousand, one hundred forty-four".