42084023328400 has 45 divisors (see below), whose sum is σ = 101107177758363. Its totient is φ = 16833557433600.

The previous prime is 42084023328379. The next prime is 42084023328421. The reversal of 42084023328400 is 482332048024.

The square root of 42084023328400 is 6487220.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (42084023328379) and next prime (42084023328421).

It can be written as a sum of positive squares in 4 ways, for example, as 467078544 + 42083556249856 = 21612^2 + 6487184^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129582220 + ... + 129906580.

Almost surely, 2^{42084023328400} is an apocalyptic number.

42084023328400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42084023328400 is the 6487220-th square number.

It is an amenable number.

42084023328400 is an abundant number, since it is smaller than the sum of its proper divisors (59023154429963).

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

42084023328400 is an frugal number, since it uses more digits than its factorization.

42084023328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648740 (or 324368 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 42084023328400 in words is "forty-two trillion, eighty-four billion, twenty-three million, three hundred twenty-eight thousand, four hundred".