193210967040 has 1320 divisors, whose sum is σ = 805829683968. Its totient is φ = 39450378240.

The previous prime is 193210966981. The next prime is 193210967041. The reversal of 193210967040 is 40769012391.

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 = 193210966983 and 193210967001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193210967041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6232611825 + ... + 6232611855.

Almost surely, 2^193210967040 is an apocalyptic number.

193210967040 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 193210967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402914841984).

193210967040 is an abundant number, since it is smaller than the sum of its proper divisors (612618716928).

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

193210967040 is an equidigital number, since it uses as much as digits as its factorization.

193210967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 193210967040 in words is "one hundred ninety-three billion, two hundred ten million, nine hundred sixty-seven thousand, forty".