971114495400 has 576 divisors, whose sum is σ = 3875263217280. Its totient is φ = 213315379200.

The previous prime is 971114495357. The next prime is 971114495423. The reversal of 971114495400 is 4594411179.

971114495400 is a `hidden beast` number, since 9 + 7 + 1 + 114 + 495 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34598172 + ... + 34626228.

It is an arithmetic number, because the mean of its divisors is an integer number (6727887530).

Almost surely, 2^971114495400 is an apocalyptic number.

971114495400 is a gapful number since it is divisible by the number (90) 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 971114495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937631608640).

971114495400 is an abundant number, since it is smaller than the sum of its proper divisors (2904148721880).

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

971114495400 is a wasteful number, since it uses less digits than its factorization.

971114495400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28194 (or 28182 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 971114495400 in words is "nine hundred seventy-one billion, one hundred fourteen million, four hundred ninety-five thousand, four hundred".