4891225379040 has 3456 divisors, whose sum is σ = 24154300154880. Its totient is φ = 899428147200.

The previous prime is 4891225379039. The next prime is 4891225379063. The reversal of 4891225379040 is 409735221984.

4891225379040 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 225 + 379 + 0 + 40 = 666.

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

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45712386667 + ... + 45712386773.

It is an arithmetic number, because the mean of its divisors is an integer number (6989091480).

Almost surely, 2^{4891225379040} is an apocalyptic number.

4891225379040 is a gapful number since it is divisible by the number (40) 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 4891225379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077150077440).

4891225379040 is an abundant number, since it is smaller than the sum of its proper divisors (19263074775840).

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

4891225379040 is a wasteful number, since it uses less digits than its factorization.

4891225379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4891225379040 in words is "four trillion, eight hundred ninety-one billion, two hundred twenty-five million, three hundred seventy-nine thousand, forty".