4072149568760 has 384 divisors, whose sum is σ = 11601924606720. Its totient is φ = 1274931560448.

The previous prime is 4072149568699. The next prime is 4072149568777. The reversal of 4072149568760 is 678659412704.

It is a super-2 number, since 2×4072149568760² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4072149568760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092606017 + ... + 1092609743.

It is an arithmetic number, because the mean of its divisors is an integer number (30213345330).

Almost surely, 2^{4072149568760} is an apocalyptic number.

4072149568760 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 4072149568760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800962303360).

4072149568760 is an abundant number, since it is smaller than the sum of its proper divisors (7529775037960).

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

4072149568760 is a wasteful number, since it uses less digits than its factorization.

4072149568760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 59.

The spelling of 4072149568760 in words is "four trillion, seventy-two billion, one hundred forty-nine million, five hundred sixty-eight thousand, seven hundred sixty".