4041124797600 has 648 divisors, whose sum is σ = 16243455664800. Its totient is φ = 979660915200.

The previous prime is 4041124797557. The next prime is 4041124797649. The reversal of 4041124797600 is 67974211404.

4041124797600 is a `hidden beast` number, since 4 + 0 + 4 + 11 + 24 + 7 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23436501 + ... + 23608299.

Almost surely, 2^{4041124797600} is an apocalyptic number.

4041124797600 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 4041124797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121727832400).

4041124797600 is an abundant number, since it is smaller than the sum of its proper divisors (12202330867200).

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

4041124797600 is a wasteful number, since it uses less digits than its factorization.

4041124797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171856 (or 171820 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4041124797600 in words is "four trillion, forty-one billion, one hundred twenty-four million, seven hundred ninety-seven thousand, six hundred".