4241342400 has 84 divisors (see below), whose sum is σ = 13915153272. Its totient is φ = 1131023360.

The previous prime is 4241342327. The next prime is 4241342447. The reversal of 4241342400 is 42431424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437007 + ... + 446606.

Almost surely, 2^4241342400 is an apocalyptic number.

4241342400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241342400 is an abundant number, since it is smaller than the sum of its proper divisors (9673810872).

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

4241342400 is a wasteful number, since it uses less digits than its factorization.

4241342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883638 (or 883623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4241342400 is about 65125.5894407106. The cubic root of 4241342400 is about 1618.7052602633.

Adding to 4241342400 its reverse (42431424), we get a palindrome (4283773824).

The spelling of 4241342400 in words is "four billion, two hundred forty-one million, three hundred forty-two thousand, four hundred".