201969469440 has 576 divisors, whose sum is σ = 757691625600. Its totient is φ = 51502252032.

The previous prime is 201969469439. The next prime is 201969469483. The reversal of 201969469440 is 44964969102.

It is a happy number.

201969469440 is a `hidden beast` number, since 2 + 0 + 196 + 9 + 4 + 6 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 57229596 + ... + 57233124.

It is an arithmetic number, because the mean of its divisors is an integer number (1315436850).

Almost surely, 2^201969469440 is an apocalyptic number.

201969469440 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 201969469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378845812800).

201969469440 is an abundant number, since it is smaller than the sum of its proper divisors (555722156160).

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

201969469440 is an equidigital number, since it uses as much as digits as its factorization.

201969469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 201969469440 in words is "two hundred one billion, nine hundred sixty-nine million, four hundred sixty-nine thousand, four hundred forty".