4051405406880 has 2304 divisors, whose sum is σ = 16952214988800. Its totient is φ = 871748075520.

The previous prime is 4051405406879. The next prime is 4051405406977. The reversal of 4051405406880 is 886045041504.

It is a happy number.

4051405406880 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 40 + 540 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29572302172 + ... + 29572302308.

It is an arithmetic number, because the mean of its divisors is an integer number (7357732200).

Almost surely, 2^{4051405406880} is an apocalyptic number.

4051405406880 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 4051405406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476107494400).

4051405406880 is an abundant number, since it is smaller than the sum of its proper divisors (12900809581920).

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

4051405406880 is a wasteful number, since it uses less digits than its factorization.

4051405406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 4051405406880 in words is "four trillion, fifty-one billion, four hundred five million, four hundred six thousand, eight hundred eighty".