1985122600440 has 512 divisors, whose sum is σ = 7226404761600. Its totient is φ = 426460446720.

The previous prime is 1985122600429. The next prime is 1985122600469. The reversal of 1985122600440 is 440062215891.

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

It is a junction number, because it is equal to n+sod(n) for n = 1985122600392 and 1985122600401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 396308656 + ... + 396313664.

It is an arithmetic number, because the mean of its divisors is an integer number (14114071800).

Almost surely, 2^{1985122600440} is an apocalyptic number.

1985122600440 is a gapful number since it is divisible by the number (10) 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 1985122600440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613202380800).

1985122600440 is an abundant number, since it is smaller than the sum of its proper divisors (5241282161160).

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

1985122600440 is a wasteful number, since it uses less digits than its factorization.

1985122600440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1985122600440 in words is "one trillion, nine hundred eighty-five billion, one hundred twenty-two million, six hundred thousand, four hundred forty".