201115153034400 has 576 divisors, whose sum is σ = 717826792144896. Its totient is φ = 48503895552000.

The previous prime is 201115153034387. The next prime is 201115153034461. The reversal of 201115153034400 is 4430351511102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9401847705 + ... + 9401869095.

It is an arithmetic number, because the mean of its divisors is an integer number (1246227069696).

Almost surely, 2^{201115153034400} is an apocalyptic number.

201115153034400 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 201115153034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358913396072448).

201115153034400 is an abundant number, since it is smaller than the sum of its proper divisors (516711639110496).

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

201115153034400 is a wasteful number, since it uses less digits than its factorization.

201115153034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23245 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 201115153034400 in words is "two hundred one trillion, one hundred fifteen billion, one hundred fifty-three million, thirty-four thousand, four hundred".