4042700242400 has 72 divisors (see below), whose sum is σ = 9870502466160. Its totient is φ = 1616873564160.

The previous prime is 4042700242397. The next prime is 4042700242423. The reversal of 4042700242400 is 42420072404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6022856 + ... + 6660344.

It is an arithmetic number, because the mean of its divisors is an integer number (137090312030).

Almost surely, 2^{4042700242400} is an apocalyptic number.

4042700242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042700242400 is an abundant number, since it is smaller than the sum of its proper divisors (5827802223760).

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

4042700242400 is a wasteful number, since it uses less digits than its factorization.

4042700242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645436 (or 645423 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 29.

The spelling of 4042700242400 in words is "four trillion, forty-two billion, seven hundred million, two hundred forty-two thousand, four hundred".