4013776030000 has 800 divisors, whose sum is σ = 11797923456000. Its totient is φ = 1305722880000.

The previous prime is 4013776029997. The next prime is 4013776030003. The reversal of 4013776030000 is 306773104.

It is an interprime number because it is at equal distance from previous prime (4013776029997) and next prime (4013776030003).

It is a super-2 number, since 2×4013776030000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013776030003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2848669296 + ... + 2848670704.

It is an arithmetic number, because the mean of its divisors is an integer number (14747404320).

Almost surely, 2^{4013776030000} is an apocalyptic number.

4013776030000 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 4013776030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898961728000).

4013776030000 is an abundant number, since it is smaller than the sum of its proper divisors (7784147426000).

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

4013776030000 is a wasteful number, since it uses less digits than its factorization.

4013776030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The spelling of 4013776030000 in words is "four trillion, thirteen billion, seven hundred seventy-six million, thirty thousand".