1993070499840 has 2880 divisors, whose sum is σ = 9150801660000. Its totient is φ = 412018016256.

The previous prime is 1993070499809. The next prime is 1993070499877. The reversal of 1993070499840 is 489940703991.

1993070499840 is a `hidden beast` number, since 1 + 9 + 9 + 30 + 70 + 499 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22394050516 + ... + 22394050604.

Almost surely, 2^{1993070499840} is an apocalyptic number.

1993070499840 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 1993070499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575400830000).

1993070499840 is an abundant number, since it is smaller than the sum of its proper divisors (7157731160160).

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

1993070499840 is a wasteful number, since it uses less digits than its factorization.

1993070499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1993070499840 in words is "one trillion, nine hundred ninety-three billion, seventy million, four hundred ninety-nine thousand, eight hundred forty".