201256400352 has 96 divisors (see below), whose sum is σ = 604110673152. Its totient is φ = 57469307904.

The previous prime is 201256400291. The next prime is 201256400353. The reversal of 201256400352 is 253004652102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201256400353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117068 + ... + 1284660.

It is an arithmetic number, because the mean of its divisors is an integer number (6292819512).

Almost surely, 2^201256400352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201256400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302055336576).

201256400352 is an abundant number, since it is smaller than the sum of its proper divisors (402854272800).

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

201256400352 is a wasteful number, since it uses less digits than its factorization.

201256400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169400 (or 169392 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 201256400352 in words is "two hundred one billion, two hundred fifty-six million, four hundred thousand, three hundred fifty-two".