6141783398400 has 2592 divisors, whose sum is σ = 25977017364480. Its totient is φ = 1434705592320.

The previous prime is 6141783398369. The next prime is 6141783398459. The reversal of 6141783398400 is 48933871416.

6141783398400 is a `hidden beast` number, since 6 + 141 + 7 + 8 + 3 + 3 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48360499137 + ... + 48360499263.

It is an arithmetic number, because the mean of its divisors is an integer number (10021997440).

Almost surely, 2^{6141783398400} is an apocalyptic number.

6141783398400 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 6141783398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988508682240).

6141783398400 is an abundant number, since it is smaller than the sum of its proper divisors (19835233966080).

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

6141783398400 is a wasteful number, since it uses less digits than its factorization.

6141783398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6141783398400 in words is "six trillion, one hundred forty-one billion, seven hundred eighty-three million, three hundred ninety-eight thousand, four hundred".