193041152640 has 768 divisors, whose sum is σ = 842155574400. Its totient is φ = 41525084160.

The previous prime is 193041152617. The next prime is 193041152663. The reversal of 193041152640 is 46251140391.

It is a happy number.

193041152640 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 4 + 1 + 1 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (193041152617) and next prime (193041152663).

It is a super-2 number, since 2×193041152640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 193041152595 and 193041152604.

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, 14387535 + ... + 14400945.

Almost surely, 2^193041152640 is an apocalyptic number.

193041152640 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 193041152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421077787200).

193041152640 is an abundant number, since it is smaller than the sum of its proper divisors (649114421760).

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

193041152640 is a wasteful number, since it uses less digits than its factorization.

193041152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13470 (or 13445 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 193041152640 in words is "one hundred ninety-three billion, forty-one million, one hundred fifty-two thousand, six hundred forty".