4051092645600 has 1728 divisors, whose sum is σ = 18741660456960. Its totient is φ = 736028467200.

The previous prime is 4051092645599. The next prime is 4051092645661. The reversal of 4051092645600 is 65462901504.

It is a super-2 number, since 2×4051092645600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 593389387 + ... + 593396213.

It is an arithmetic number, because the mean of its divisors is an integer number (10845868320).

Almost surely, 2^{4051092645600} is an apocalyptic number.

4051092645600 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 4051092645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370830228480).

4051092645600 is an abundant number, since it is smaller than the sum of its proper divisors (14690567811360).

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

4051092645600 is a wasteful number, since it uses less digits than its factorization.

4051092645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 4051092645600 in words is "four trillion, fifty-one billion, ninety-two million, six hundred forty-five thousand, six hundred".