201400248960 has 1024 divisors, whose sum is σ = 765186048000. Its totient is φ = 49997316096.

The previous prime is 201400248943. The next prime is 201400248967. The reversal of 201400248960 is 69842004102.

201400248960 is a `hidden beast` number, since 2 + 0 + 1 + 400 + 248 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×201400248960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201400248967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2549370201 + ... + 2549370279.

It is an arithmetic number, because the mean of its divisors is an integer number (747252000).

Almost surely, 2^201400248960 is an apocalyptic number.

201400248960 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 201400248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382593024000).

201400248960 is an abundant number, since it is smaller than the sum of its proper divisors (563785799040).

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

201400248960 is a wasteful number, since it uses less digits than its factorization.

201400248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 201400248960 in words is "two hundred one billion, four hundred million, two hundred forty-eight thousand, nine hundred sixty".