4276904100480 has 1152 divisors, whose sum is σ = 16510494873600. Its totient is φ = 1019315404800.

The previous prime is 4276904100473. The next prime is 4276904100527. The reversal of 4276904100480 is 840014096724.

4276904100480 is a `hidden beast` number, since 4 + 2 + 7 + 69 + 0 + 4 + 100 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18676437006 + ... + 18676437234.

It is an arithmetic number, because the mean of its divisors is an integer number (14332026800).

Almost surely, 2^{4276904100480} is an apocalyptic number.

4276904100480 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 4276904100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255247436800).

4276904100480 is an abundant number, since it is smaller than the sum of its proper divisors (12233590773120).

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

4276904100480 is a wasteful number, since it uses less digits than its factorization.

4276904100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4276904100480 in words is "four trillion, two hundred seventy-six billion, nine hundred four million, one hundred thousand, four hundred eighty".