6021142400 has 768 divisors, whose sum is σ = 20398694400. Its totient is φ = 1703116800.

The previous prime is 6021142373. The next prime is 6021142417. The reversal of 6021142400 is 42411206.

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 95 ways as a sum of consecutive naturals, for example, 194230385 + ... + 194230415.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^6021142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6021142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199347200).

6021142400 is an abundant number, since it is smaller than the sum of its proper divisors (14377552000).

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

6021142400 is a wasteful number, since it uses less digits than its factorization.

6021142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6021142400 is about 77596.0205165188. The cubic root of 6021142400 is about 1819.2524402368.

Adding to 6021142400 its reverse (42411206), we get a palindrome (6063553606).

The spelling of 6021142400 in words is "six billion, twenty-one million, one hundred forty-two thousand, four hundred".