42935776400 has 120 divisors (see below), whose sum is σ = 113004374400. Its totient is φ = 15547302400.

The previous prime is 42935776391. The next prime is 42935776423. The reversal of 42935776400 is 467753924.

It is a super-3 number, since 3×42935776400³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031186 + ... + 1072014.

It is an arithmetic number, because the mean of its divisors is an integer number (941703120).

Almost surely, 2^42935776400 is an apocalyptic number.

42935776400 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 42935776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56502187200).

42935776400 is an abundant number, since it is smaller than the sum of its proper divisors (70068598000).

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

42935776400 is a wasteful number, since it uses less digits than its factorization.

42935776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41097 (or 41086 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 42935776400 in words is "forty-two billion, nine hundred thirty-five million, seven hundred seventy-six thousand, four hundred".