4007226960 has 480 divisors, whose sum is σ = 15459724800. Its totient is φ = 921231360.

The previous prime is 4007226953. The next prime is 4007226973. The reversal of 4007226960 is 696227004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 16766521 + ... + 16766759.

It is an arithmetic number, because the mean of its divisors is an integer number (32207760).

Almost surely, 2^4007226960 is an apocalyptic number.

4007226960 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 4007226960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729862400).

4007226960 is an abundant number, since it is smaller than the sum of its proper divisors (11452497840).

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

4007226960 is a wasteful number, since it uses less digits than its factorization.

4007226960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4007226960 is about 63302.6615554196. The cubic root of 4007226960 is about 1588.3564837856.

The spelling of 4007226960 in words is "four billion, seven million, two hundred twenty-six thousand, nine hundred sixty".