4133778480 has 480 divisors, whose sum is σ = 16071846336. Its totient is φ = 943128576.

The previous prime is 4133778479. The next prime is 4133778503. The reversal of 4133778480 is 848773314.

It is a super-2 number, since 2×4133778480² = 34176249043422220800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13206804 + ... + 13207116.

Almost surely, 2^4133778480 is an apocalyptic number.

4133778480 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 4133778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035923168).

4133778480 is an abundant number, since it is smaller than the sum of its proper divisors (11938067856).

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

4133778480 is a wasteful number, since it uses less digits than its factorization.

4133778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4133778480 is about 64294.4669470087. The cubic root of 4133778480 is about 1604.9040266367.

The spelling of 4133778480 in words is "four billion, one hundred thirty-three million, seven hundred seventy-eight thousand, four hundred eighty".