197401601400 has 96 divisors (see below), whose sum is σ = 612360918000. Its totient is φ = 52604646400.

The previous prime is 197401601393. The next prime is 197401601407. The reversal of 197401601400 is 4106104791.

It is a Cunningham number, because it is equal to 444299²-1.

It is an interprime number because it is at equal distance from previous prime (197401601393) and next prime (197401601407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197401601407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777526 + ... + 999674.

Almost surely, 2^197401601400 is an apocalyptic number.

197401601400 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 197401601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306180459000).

197401601400 is an abundant number, since it is smaller than the sum of its proper divisors (414959316600).

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

197401601400 is a wasteful number, since it uses less digits than its factorization.

197401601400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223649 (or 223640 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 197401601400 in words is "one hundred ninety-seven billion, four hundred one million, six hundred one thousand, four hundred".