5641491206400 has 1296 divisors, whose sum is σ = 22168909224000. Its totient is φ = 1259377459200.

The previous prime is 5641491206387. The next prime is 5641491206443. The reversal of 5641491206400 is 46021941465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11305593351 + ... + 11305593849.

Almost surely, 2^{5641491206400} is an apocalyptic number.

5641491206400 is a gapful number since it is divisible by the number (50) 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 5641491206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11084454612000).

5641491206400 is an abundant number, since it is smaller than the sum of its proper divisors (16527418017600).

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

5641491206400 is a wasteful number, since it uses less digits than its factorization.

5641491206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 5641491206400 in words is "five trillion, six hundred forty-one billion, four hundred ninety-one million, two hundred six thousand, four hundred".