6200040400 has 60 divisors (see below), whose sum is σ = 14930415052. Its totient is φ = 2474219520.

The previous prime is 6200040397. The next prime is 6200040409. The reversal of 6200040400 is 40400026.

It can be written as a sum of positive squares in 6 ways, for example, as 2080454544 + 4119585856 = 45612^2 + 64184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6200040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155302 + ... + 191098.

Almost surely, 2^6200040400 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 6200040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465207526).

6200040400 is an abundant number, since it is smaller than the sum of its proper divisors (8730374652).

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

6200040400 is a wasteful number, since it uses less digits than its factorization.

6200040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36248 (or 36237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 6200040400 is about 78740.3352799567. The cubic root of 6200040400 is about 1837.0945402453.

Adding to 6200040400 its reverse (40400026), we get a palindrome (6240440426).

It can be divided in two parts, 62000 and 40400, that added together give a square (102400 = 320²).

The spelling of 6200040400 in words is "six billion, two hundred million, forty thousand, four hundred".