202196161440 has 768 divisors, whose sum is σ = 894603709440. Its totient is φ = 41505177600.

The previous prime is 202196161439. The next prime is 202196161537. The reversal of 202196161440 is 44161691202.

202196161440 is a `hidden beast` number, since 2 + 0 + 21 + 9 + 616 + 14 + 4 + 0 = 666.

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 = 202196161395 and 202196161404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14538490 + ... + 14552390.

It is an arithmetic number, because the mean of its divisors is an integer number (1164848580).

Almost surely, 2^202196161440 is an apocalyptic number.

202196161440 is a gapful number since it is divisible by the number (20) 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 202196161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447301854720).

202196161440 is an abundant number, since it is smaller than the sum of its proper divisors (692407548000).

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

202196161440 is a wasteful number, since it uses less digits than its factorization.

202196161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13982 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 202196161440 in words is "two hundred two billion, one hundred ninety-six million, one hundred sixty-one thousand, four hundred forty".