1989357834240 has 1248 divisors, whose sum is σ = 8419960074240. Its totient is φ = 424552955904.

The previous prime is 1989357834239. The next prime is 1989357834259. The reversal of 1989357834240 is 424387539891.

1989357834240 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 3 + 578 + 34 + 24 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 1276046581 + ... + 1276048139.

It is an arithmetic number, because the mean of its divisors is an integer number (6746762880).

Almost surely, 2^{1989357834240} is an apocalyptic number.

1989357834240 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 1989357834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209980037120).

1989357834240 is an abundant number, since it is smaller than the sum of its proper divisors (6430602240000).

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

1989357834240 is a wasteful number, since it uses less digits than its factorization.

1989357834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1989357834240 in words is "one trillion, nine hundred eighty-nine billion, three hundred fifty-seven million, eight hundred thirty-four thousand, two hundred forty".