201556742400 has 1296 divisors, whose sum is σ = 845083133440. Its totient is φ = 45386956800.

The previous prime is 201556742393. The next prime is 201556742441. The reversal of 201556742400 is 4247655102.

It is a happy number.

201556742400 is a `hidden beast` number, since 2 + 0 + 15 + 567 + 42 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 441042972 + ... + 441043428.

Almost surely, 2^201556742400 is an apocalyptic number.

201556742400 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 201556742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422541566720).

201556742400 is an abundant number, since it is smaller than the sum of its proper divisors (643526391040).

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

201556742400 is a wasteful number, since it uses less digits than its factorization.

201556742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 201556742400 in words is "two hundred one billion, five hundred fifty-six million, seven hundred forty-two thousand, four hundred".