196756439040 has 816 divisors, whose sum is σ = 810685669248. Its totient is φ = 44845498368.

The previous prime is 196756439029. The next prime is 196756439053. The reversal of 196756439040 is 40934657691.

196756439040 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 564 + 39 + 0 + 40 = 666.

It is a super-2 number, since 2×196756439040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557383504 + ... + 557383856.

Almost surely, 2^196756439040 is an apocalyptic number.

196756439040 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 196756439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405342834624).

196756439040 is an abundant number, since it is smaller than the sum of its proper divisors (613929230208).

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

196756439040 is an frugal number, since it uses more digits than its factorization.

196756439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 196756439040 in words is "one hundred ninety-six billion, seven hundred fifty-six million, four hundred thirty-nine thousand, forty".