4140934963200 has 4032 divisors, whose sum is σ = 20009383603200. Its totient is φ = 832359628800.

The previous prime is 4140934963177. The next prime is 4140934963201. The reversal of 4140934963200 is 23694390414.

4140934963200 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 9 + 3 + 4 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4140934963201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133578547185 + ... + 133578547215.

Almost surely, 2^{4140934963200} is an apocalyptic number.

4140934963200 is a gapful number since it is divisible by the number (40) 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 4140934963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004691801600).

4140934963200 is an abundant number, since it is smaller than the sum of its proper divisors (15868448640000).

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

4140934963200 is a wasteful number, since it uses less digits than its factorization.

4140934963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4140934963200 in words is "four trillion, one hundred forty billion, nine hundred thirty-four million, nine hundred sixty-three thousand, two hundred".