42322541400320 has 36 divisors (see below), whose sum is σ = 101375712451020. Its totient is φ = 16929016559616.

The previous prime is 42322541400281. The next prime is 42322541400383. The reversal of 42322541400320 is 2300414522324.

It can be written as a sum of positive squares in 2 ways, for example, as 10678046281984 + 31644495118336 = 3267728^2 + 5625344^2 .

It is a super-2 number, since 2×42322541400320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16532241455 + ... + 16532244014.

Almost surely, 2^{42322541400320} is an apocalyptic number.

42322541400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42322541400320 is an abundant number, since it is smaller than the sum of its proper divisors (59053171050700).

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

42322541400320 is an equidigital number, since it uses as much as digits as its factorization.

42322541400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33064485490 (or 33064485476 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 42322541400320 its reverse (2300414522324), we get a palindrome (44622955922644).

The spelling of 42322541400320 in words is "forty-two trillion, three hundred twenty-two billion, five hundred forty-one million, four hundred thousand, three hundred twenty".