4021146119760 has 960 divisors, whose sum is σ = 16265390948352. Its totient is φ = 803556864000.

The previous prime is 4021146119741. The next prime is 4021146119813. The reversal of 4021146119760 is 679116411204.

It is a super-2 number, since 2×4021146119760² (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 191 ways as a sum of consecutive naturals, for example, 1052378650 + ... + 1052382470.

Almost surely, 2^{4021146119760} is an apocalyptic number.

4021146119760 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 4021146119760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132695474176).

4021146119760 is an abundant number, since it is smaller than the sum of its proper divisors (12244244828592).

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

4021146119760 is a wasteful number, since it uses less digits than its factorization.

4021146119760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 4021146119760 in words is "four trillion, twenty-one billion, one hundred forty-six million, one hundred nineteen thousand, seven hundred sixty".