486770022199440 has 1280 divisors, whose sum is σ = 1986074963066880. Its totient is φ = 107271972864000.

The previous prime is 486770022199429. The next prime is 486770022199577. The reversal of 486770022199440 is 44991220077684.

486770022199440 is a `hidden beast` number, since 4 + 86 + 7 + 7 + 0 + 0 + 2 + 21 + 99 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27925527525 + ... + 27925544955.

It is an arithmetic number, because the mean of its divisors is an integer number (1551621064896).

Almost surely, 2^{486770022199440} is an apocalyptic number.

486770022199440 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 486770022199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993037481533440).

486770022199440 is an abundant number, since it is smaller than the sum of its proper divisors (1499304940867440).

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

486770022199440 is a wasteful number, since it uses less digits than its factorization.

486770022199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18029 (or 18017 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 486770022199440 in words is "four hundred eighty-six trillion, seven hundred seventy billion, twenty-two million, one hundred ninety-nine thousand, four hundred forty".