24124201000400 has 60 divisors (see below), whose sum is σ = 57959038794444. Its totient is φ = 9649572864000.

The previous prime is 24124201000373. The next prime is 24124201000439. The reversal of 24124201000400 is 400010242142.

It can be written as a sum of positive squares in 6 ways, for example, as 4433429056 + 24119767571344 = 66584^2 + 4911188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 42381680 + ... + 42947120.

Almost surely, 2^{24124201000400} is an apocalyptic number.

24124201000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24124201000400 is an abundant number, since it is smaller than the sum of its proper divisors (33834837794044).

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

24124201000400 is a wasteful number, since it uses less digits than its factorization.

24124201000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672120 (or 672109 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24124201000400 its reverse (400010242142), we get a palindrome (24524211242542).

The spelling of 24124201000400 in words is "twenty-four trillion, one hundred twenty-four billion, two hundred one million, four hundred", and thus it is an aban number.