4051051680 has 144 divisors (see below), whose sum is σ = 13818198240. Its totient is φ = 997161984.

The previous prime is 4051051637. The next prime is 4051051717. The reversal of 4051051680 is 861501504.

It is a super-2 number, since 2×4051051680² = 32822039428061644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56151 + ... + 106089.

It is an arithmetic number, because the mean of its divisors is an integer number (95959710).

Almost surely, 2^4051051680 is an apocalyptic number.

4051051680 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 4051051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909099120).

4051051680 is an abundant number, since it is smaller than the sum of its proper divisors (9767146560).

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

4051051680 is a wasteful number, since it uses less digits than its factorization.

4051051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49983 (or 49962 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 4051051680 is about 63647.8725488920. The cubic root of 4051051680 is about 1594.1258142730.

The spelling of 4051051680 in words is "four billion, fifty-one million, fifty-one thousand, six hundred eighty".