6194039900400 has 450 divisors, whose sum is σ = 24434547002096. Its totient is φ = 1501584480000.

The previous prime is 6194039900381. The next prime is 6194039900431. The reversal of 6194039900400 is 40099304916.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×6194039900400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3130425 + ... + 4710375.

Almost surely, 2^{6194039900400} is an apocalyptic number.

6194039900400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6194039900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217273501048).

6194039900400 is an abundant number, since it is smaller than the sum of its proper divisors (18240507101696).

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

6194039900400 is a wasteful number, since it uses less digits than its factorization.

6194039900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580003 (or 1579972 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 6194039900400 in words is "six trillion, one hundred ninety-four billion, thirty-nine million, nine hundred thousand, four hundred".