42402532320 has 192 divisors, whose sum is σ = 149180754240. Its totient is φ = 11248533504.

The previous prime is 42402532309. The next prime is 42402532331. The reversal of 42402532320 is 2323520424.

It is a happy number.

42402532320 is a `hidden beast` number, since 424 + 0 + 2 + 5 + 3 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42402532309) and next prime (42402532331).

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

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, 808332 + ... + 859188.

It is an arithmetic number, because the mean of its divisors is an integer number (776983095).

Almost surely, 2^42402532320 is an apocalyptic number.

42402532320 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 42402532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74590377120).

42402532320 is an abundant number, since it is smaller than the sum of its proper divisors (106778221920).

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

42402532320 is a wasteful number, since it uses less digits than its factorization.

42402532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51074 (or 51060 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The spelling of 42402532320 in words is "forty-two billion, four hundred two million, five hundred thirty-two thousand, three hundred twenty".