42005997840400 has 960 divisors, whose sum is σ = 122127223357440. Its totient is φ = 13714202880000.

The previous prime is 42005997840371. The next prime is 42005997840479. The reversal of 42005997840400 is 404879950024.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30728600517 + ... + 30728601883.

It is an arithmetic number, because the mean of its divisors is an integer number (127215857664).

Almost surely, 2^{42005997840400} is an apocalyptic number.

42005997840400 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 42005997840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61063611678720).

42005997840400 is an abundant number, since it is smaller than the sum of its proper divisors (80121225517040).

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

42005997840400 is a wasteful number, since it uses less digits than its factorization.

42005997840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 42005997840400 in words is "forty-two trillion, five billion, nine hundred ninety-seven million, eight hundred forty thousand, four hundred".