193196967040 has 256 divisors, whose sum is σ = 576505175040. Its totient is φ = 60146380800.

The previous prime is 193196967031. The next prime is 193196967043. The reversal of 193196967040 is 40769691391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (193196967043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55339695 + ... + 55343185.

It is an arithmetic number, because the mean of its divisors is an integer number (2251973340).

Almost surely, 2^193196967040 is an apocalyptic number.

193196967040 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 193196967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288252587520).

193196967040 is an abundant number, since it is smaller than the sum of its proper divisors (383308208000).

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

193196967040 is a wasteful number, since it uses less digits than its factorization.

193196967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 193196967040 in words is "one hundred ninety-three billion, one hundred ninety-six million, nine hundred sixty-seven thousand, forty".